Can you solve the rebel supplies riddle? - Alex Gendler

Practice more problem-solving at brilliant.org/...
Solution to Bonus Riddle: brilliant.org/...
You’re overseeing the delivery of supplies to a rebel base in the heart of enemy territory. To get past customs, all packages must follow this rule: if a box is marked with an even number on the bottom, it must be sealed with a red top. One of the four boxes was sealed incorrectly, but they lost track of which one. Can you figure out which box it is and save the day? Alex Gendler shows how.
Lesson by Alex Gendler, directed by Artrake Studio.
Thank you so much to our patrons for supporting us on Patreon! Without you this video would not be possible! Jordan Tang, Christopher Jimenez, Juan, Tracey Tobkin, Sid, emily lam, Kathryn J Hammond, Elliot Poulin, Noel Situ, Latora Slydell, Sydney Evans, Victor E Karhel, Eysteinn Guðnason, Andrea Feliz, Natalia Rico, Josh Engel, Bárbara Nazaré, Zhexi Shan, PnDAA, Sandra Tersluisen, Ellen Spertus, Fabian Amels, sammie goh, Mattia Veltri, Quentin Le Menez, Yuh Saito, Heather Slater, Dr Luca Carpinelli, Christophe Dessalles, Arturo De Leon, Eduardo Briceño, Ricardo Paredes, David Douglass, Grant Albert, Jen , Megan Whiteleather, Mayank Kaul, Ryohky Araya, Tan YH, Ph.D., Brittiny Elman, Kostadin Mandulov, Yanuar Ashari, Mrinalini, Anthony Kudolo, Querida Owens, Hazel Lam, Manav parmar, Siamak H, and Dominik Kugelmann,

[@TEDEd]

For the solution to the bonus riddle visit brilliant.org/tededmislabelledboxes/! Also, the first 833 of you who sign up for a PREMIUM subscription will get 20% off the annual fee. Riddle on!

[@shravannarasimhan7363]

1st like

[@pitadomu]

2nd like

[@LabScienceTheOne]

awesome video

[@azlan194]

The riddle is slightly confusing especially the part where they say that when we grab a box, we would deprived the rebels of their supplies. So I thought you can only inspect 1 box to make sure that is the wrong one. Not taking two boxes away.

[@TheMovieKnightProductions]

why tf not?

[@vskidan]

If it doesn't matter if the odd numbers have a red top, why don't you give all the boxes red tops

[@anoldretiredelephant]

Victoria Skidan North Korea man

[@Rissa_1322]

Right? That feels like it would prevent lots of problems

[@teslapenguin1]

Or odd numbers

[@biancaa67]

Maybe red tops are more expensive?

[@Hello-qg4yk]

Sammy Sicari yeah

[@charliejulietdavies8715]

for the bonus riddle you only have to open 2 boxes: open any one and if it's right, easy. if not, open the box labelled with what you found. the box labelled with what you find in the second box is also wrong, so the final box is correct example: i open the apples box and find dates, then open the dates box. it can't contain dates since the apples box does, and it can't be apples because that would force both of the other boxes to be right or wrong, neither of which is allowed. say it contains bananas, i know the bananas box has to have apples, so the carrots box is labelled correctly

[@jonrd21]

Its 2 boxes no matter what, see: Apples -> bananas Bananas -> carrots Carrots -> apples Dates -> dates I open boxes apples then carrots. I know it has to be dates, because it isnt apples bananas or carrots. If I open boxes bananas then apples, I still know it is dates for the same reason.

[@milkiiiteaa]

CJ Evans 👁👄👁

[@LuneWatcher]

Like the musicians' instruments riddle.

[@harutodoroki9918]

I think this was on another video, I think it was the band instruments riddle?

[@bebgab1971]

Finn ·-· nah it’s slightly different

[@gracy2826]

The human who’s sacrificing his time for making those riddles: Respect and Hats off!

[@OneWeirdDude]

He did say Brilliant.org sponsors him. You should subscribe to Brilliant to support these riddles!

[@gracy2826]

OneWeirdDude I know but like behind Brilliant...I mean there is a groupe of people who is working hard!

[@laurenjulia1552]

the riddle’s by alex gendler. brilliant’s just being sponsored

[@gracy2826]

Azure sorry I got it wrong 😅 thx :)

[@alisonfool]

Bold of you to assume there's a human behind this

[@Shrektacular2468]

Why don't you just ship all boxes with a red top?

[@Inkyminkyzizwoz]

I'd wondered that as well. When the solution came up I found that I'd almost been thinking along the right lines and that was what threw me

[@eon3595]

Just like the example in the video, Meat needs one box, vegetarian needs another, you can’t just give everything to the meat eaters or else the vegetarians will go without food. Same if it was military a Pilot and a Boat, a pilot can only take one type of ammunition, but the boat can take both, but you can’t just give everything to the Boat.

[@Inkyminkyzizwoz]

@@eon3595 Not quite the same though, because the boxes in the real scenario are all going to the same place!

[@Lexi-ng2be]

169 likes

[@legendofgaming3851]

Why make the order not be shipped if even 1 box is incorrect

[@goosifyed9717]

when 2 boxes are missing: eh its fine when 4 boxes are missing: WE ARE BARELY SURVIVING

[@danielyuan9862]

Think of it this way: there are 4 boxes, and you take away 2, you still have 2 left, but if you take away all 4, you have 0 left. It really depends on how you look at things before you realize that this makes complete sense.

[@goosifyed9717]

@@danielyuan9862 THEY HAVE HUNDREDS OF SHIPMENTS

[@bingbang7735]

I actually thought we could only take away one box because of this rule

[@igunn8632]

@@goosifyed9717 who said they have more then just that?

[@goosifyed9717]

@@igunn8632 did you watch the part with all the boxes being loaded?

[@sophiemontecalvo7503]

"Can you solve the riddle?" No but I'll watch

[@lpalacioschairez]

MEEEEEEEEEEEE

[@skull123]

Overused joke on ted-ed's riddles. Lets just stop saying this

[@filipeamaral216]

No.

[@thatoneguy9582]

Sophie the Jedi Knight literally every single video

[@gavinwarner3480]

Sophie the Jedi Knight I never even try to solve them. I just like the animations lmao

[@PowahSlapEntertainmint]

Now would be a good moment to have X-ray vision.

[@rnegron77]

Patha with no thauth

[@mattyaqin7501]

Will Justin Y.(idiot) returns?

[@TheMovieKnightProductions]

this guy is everywhere (Justin y's son???? :0)

[@miap3563]

Who is Justin Y?

[@TheMovieKnightProductions]

a channel who's comments are everywhere and who has 130,000+ subscribers because of it. did that answer your question?

[@sophiaramirez7787]

This is the first Ted-Ed riddle I've ever solved!!

[@TEDEd]

Congratulations, Sophia R!

[@sigelarcturus4234]

Same

[@-yukikitsune-8055]

Same

[@k92129001]

YAY

[@creepybabby]

same!

[@BintonGaming]

Finally an easy one 😂 the difference between “if” statements and “if and only if” statements. Good ol logic-based math

[@777Skeptic]

Nobody that took logic in college fell for this. It's a shame we aren't required to take it in high school.

[@craigoda4284]

well ist code 0:06 so thicc

[@Most1562]

@@777Skeptic It's required in my school. But I think people will fell for it anyway.

[@theIris51]

Yeah this was weirdly easy for TED. Didn't even have to pause the countdown.

[@iceyyl3mon]

Yeah

[@dirtycheeto4350]

0:06 that security guard has no business being that thicc

[@immanuelak2643]

that is you by the way based on the video :"))

[@mrayrick7631]

1M subscribers with no video you legit have videos

[@bbonez]

She got 🎂

[@CallMeWyvern]

@@immanuelak2643 You don't have 1M subscribers lol

[@koolkhicken5050]

Shame shame

[@LaGGSBD]

Answer to bonus question: u need 2 1) open the apple box. If its correct, u found it. 2) If its not correct, u also know that the vegetable in the box is incorrect, so if u find banana, u know its not banana or apple 3) ur second box is either carrots or dates in this case 4) if ur second box is correct, u found the answer, if not then the other box is correct. So if u find apples in carrots, the answer is dates in this case.

[@re7alia7or]

Shut up Einstein 😂

[@willbobsled]

You can open any second box because exactly three boxes are incorrectly labelled, e.g. in your example, if apple box had bananas, then banana box can not contain apples

[@maxilerlantreas3306]

@@willbobsled That's true, but for example if you open a carrot box and find banana. You immediately knows that banana box is filled with wrong stuff, and it will increase your chances of opening the right box on the second try by avoiding the banana box. Sure, this part didn't matter because the question didn't care about the process. But in my opinion this method is better because it's much more efficient.

[@willbobsled]

fair

[@xjesh868]

@@maxilerlantreas3306 Opening the Correctly labeled box is not the goal. Identifying it is. Even if you open 2 incorrect boxes you have gained the same information as if you had opened one incorrect box and one correct box. No method of choosing a second box is more or less efficient than choosing randomly from the remaining unopened boxes.

[@nadrewod999]

The bonus riddle can be answered with just 2 boxes. For the first box, you have a 75% chance to open an incorrect box. Once you see the actual item inside, open the box with that item's label. At that point, you know that the boxes you opened AND the box labeled for the second box's actual contents were misplaced, while the remaining box was pristine. If you opened the accurate box, you already know which 3 boxes are mislabeled, but you can open one of the mislabeled boxes to figure out the triangular direction of the label shift.

[@jedisalsohere]

You actually don't have to check the box with the item's label. If you looked in the box labelled 'Apples' first, and it contained bananas, you then know that the box labelled 'Bananas' is labelled incorrectly. Then, you can check the box labelled 'Carrots'. If it's correct, great. If not, you then know that the boxes labelled 'Apples,' 'Carrots' and 'Bananas' are labelled incorrectly and the box labelled 'Dates' is correct.

[@MegaGeorge454]

First riddle of yours that I solve...Feels nice

[@24.7_sketchess]

Hi grey I'm a big fan

[@tomasroma2333]

Vinda V Kini its not grey

[@nicholasleclerc1583]

Tomás Roma r/woooosh

[@aspiringcloudexpert5127]

Logobooter.

[@MegaGeorge454]

@@aspiringcloudexpert5127 bro I just like the photo and it represents chemistry and engineering

[@eliaskivenmaa4609]

I have been watching and solving these riddles all night. Love them! I love the narration and the animation. Basic riddles become hecking interesting with funny stories surrounding them and on the harder riddles I really appreciate the simple explanations that are actually opened why and how and what. And the comparing of things such as here the athmospheres so we actually see WHY it works as it does.

[@Koblac]

Me: *gets it right* Also me: *has watched this 50 times*

[@neen01m]

same

[@mreccplaze740]

Same

[@deadacc9371]

But they got confiscated anyways as they had no stamps

[@deadacc9371]

Skylar Noël xDDDD

[@calvinlau5569]

I mean fair point, but u also have the point that these people are rebels, they aint gone give no shts about policies or Government

[@Lanurus]

What anime is your pfp from

[@atalchoudhary3553]

That is truly thinking outside the box

[@joshuabradford8372]

Atal Choudhary speaking of outside the box what is really in those boxes?

[@iOddWorId]

Anyone who codes got this right, and didn't fall for the fallacy.

[@MegaGeorge454]

Or if you are good with maths

[@dark6.6E-34]

@@MegaGeorge454 im pretty sure that maths isn't the problem hear

[@woonjeng]

@@dark6.6E-34 actually it is, basics of pure mathematics explain these

[@dark6.6E-34]

@@woonjeng can you give me the name of the lesson that is connected to this type of thinking

[@cachotognax3600]

Or likes oddworld apparently :P (I code too but come on reason don't ruin this for me)

[@schizophreniagaming1187]

Solving the puzzle is alright and all, but can we talk about our character's cake?

[@some1sday889]

That’s what I was thinking like that’s a big cake

[@ballsucker89]

i prefer pie XDDDD I'M SO FUNNY I'M SO FUNNY LAUGH GUYS LAUGH XDDDDD

[@cogwun]

The hardest thing about this riddle was trying to concentrate after seeing that cake

[@alexisjewl1830]

Yess

[@-nightlyfireflies-9561]

It's like a birthday party in here with all dat *C A K E*

[@justahuman5160]

1.confirm you have green eyes 2. ask the empire to leave

[@Jellygoober]

Nah nah nah eat the potatoes and ask the boxes to leave

[@angelnumbers7718]

But would you reply ozo or ulu?

[@chipps2378]

Ozo

[@K_B_C]

Why is this still going on

[@itsashplazxxx1649]

What does ozo and ulu mean? *im still confused on that riddle*

[@SVASH-hz5ji]

0:14 Glory to Arstotz.. I mean Distancia!

[@KaiJason]

About the bonus riddle, I think the maximum time of checking is 2. Here is how I go about this: First select a random box to check, say I check the Apple box, and found banana inside. Then according to the content of the box I can deduce that the Banana box is definitely not containing Banana, which left us with Carrots and Dates box. Finally just check one of the remaining boxes, if you found it, nice! If you didn't, the last box is the correct box. So I figure the maximum is 2, would be nice if someone share their thoughts

[@kaileypeppard3334]

yeah, i believ that is correct

[@thecrookedman3851]

Where did the riddle stipulate that only one box can contain bananas? You fell for the fallacy again.

[@KaiJason]

@@thecrookedman3851 Pretty sure the riddle states that 'each of these boxes contain a different type of fruits' so there would not be two boxes of the same fruit. But your reasoning still stay true, that some other fruits outside of the four labeled (eg. waterlemon) could be inside the wrong boxes

[@zarasyeda2254]

I got the same

[@ZombieKillerThe]

Or you can pick any 2 boxes at random since 3/4 of them are label incorrectly. Which makes a loop of 3. If you find Apples in the Banana box. You know Banana box must contain either Dates or Carrots and also either Dates or Carrots Box must contain Bananas. By selecting the Apple box and find Dates you will know Dates box has Bananas and the Carrot box contain Carrots. Or you can pick the Dates box and find bananas or the Carrot box with Carrots. Any 2 boxes will give you enough information about what all 4 boxes contain

[@jjjcutie4ever]

yay! this is the first riddle i have ever solved!!

[@TEDEd]

Congratulations!

[@level0.01thescaredcreator5]

@@TEDEd I'm the 9000th 1 ghost to beat your riddle -_1

[@67L48]

"Stick around after this episode for a bonus advertisement."

[@Bacony_Cakes]

Exactly.

[@americantoastman7296]

I really likes the bonus riddle tbh

[@sdft1138]

Dont like it? Dont watch it. Easy as that.

[@itayraviv2422]

People have the right to complain. It's also very fun and satisfying

[@joshuatkz]

"Rebel base" "Imperial customs" Star wars fan: laughs in Sith lord

[@KavishM02]

Even I'm thinking was I the only one to get that refrence

[@joshuatkz]

Haha

[@simonfrancis9009]

*Sith cackling intensifies*

[@nathanielserrano3134]

Thanks TED-Ed. I absolutely love your videos, you are giving the whole internet a free source of knowledge. Thank you :)

[@anhetnd463]

This whole channel is a giant brilliant sponsor

[@gildedbear5355]

My favorite thing about this riddle is what it says about the way we humans think. Structurally the shipments to restaurants is exactly the same, as is who do you need to card in a bar type environment, but the "natural" situations are easy for our brains to get correct (since most people can do it without thinking about it too much) while the more "abstract" versions, such as this one or with cards, require significantly more thinking for most people.

[@Hickorypaws]

“F*ck. We’re one pair of contacts short.” “Guess John will have to wait.”

[@ThePikPals]

The only Ted-Ed riddle easy enough for me to solve. Whoo!

[@mattgsm]

This is a very good riddle. I love how Ted-Ed changes the original riddle to make it both better to understand AND more exciting to watch!

[@racenicolia29]

Why am I so T H I C C in this riddle

[@bdavis3982]

Your riddles make my day!

[@mysticalarchives7821]

For the bonus riddle, you would need to check just two boxes to determine which three are mislabeled. The first box you open will either be incorrect or correct. If it's correct, then you know the other three are mislabeled, then you just need to open one more box to see what the correct label should be. To demonstrate the correction, let's say the remaining boxes are box 2,3,&4. Box 1 was correctly labeled as apples and box 2 is labeled as bananas. You open box 2 and find that it contains oranges, which is the label for box 3. To fix the mislabel, you don't even have to look in the other boxes, you just need to move box 3's label of oranges to box 2, put box 4's label of Dates on box 3, and put box 2's banana label on box 4. Why? because if box 3 contained bananas, then box 4 would have to be correct, which we know is false. Thus, if box 2 has no bananas, then neither can box 3. That means the bananas must be in box 4. Two options work for an initially incorrect box as well. If the first box is incorrect, then all you have to do is look in the box labeled for box 1's items and then you know that whatever box is labeled for box 2's items is the third mislabeled box, and again, you know that that box will contain the items for box 1's label. In short, checking just two boxes will allow you to identify the three incorrect boxes and allow you to correct the mistake.

[@sanjanasabu]

1:08 depriving rebels of CRITICALLY NEEDED supplies 😂😂

[@jyotisrivastava1122]

Why do they need underwears

[@jyotisrivastava1122]

@Craig Carmichael They are star wars rebels who want jar-jar binks to be removed from the movies and we all are supporting them 'cuz we hate jar-jar binks

[@Bananappleboy]

@@jyotisrivastava1122 Ah yes, weird creepy creature named Jar Jar.

[@Ihaveagasmask]

@@jyotisrivastava1122 ok comic book guy

[@abrahamzetz]

That feeling of satisfaction when you can solve ted-ed’s riddle :D

[@jerombastiaansen9495]

Solution: Put 7 on every box.

[@MetaWarlord135]

Or just be more careful when you're trying to sneak packages into a country, avoiding situations like this where your operation was almost jeopardised due to a basic error.

[@saiyanfang1047]

better one mark all with red tops

[@mars-nf9cj]

Solution: don’t put random numbers on the bottom of boxes

[@daerdevvyl4314]

Jerom Bastiaansen Your commander commends you for your suggestion which will help get supplies across the border in the future. And also executes you because that suggestion doesn’t help right now, so all the supplies got confiscated.

[@pheubuselectric7893]

I love these riddles thank you Ted-Ed

[@TheStupidRaptor]

This is the first of your riddles I solved by myself. I feel so smart now.

[@TheKelliestKelly]

I got the second riddle! You need to open two. This is a simpler version of a riddle involving more boxes and instruments they've featured on this channel which helped me a lot.

[@chip2508]

My first ever TED-ED ridle I actually solved before the reveal and didn't just watch for entertainment. I feel proud.

[@lily_icycle]

same

[@David.d.d.d]

Everyone: This is the first riddle I ever solved! Me: i dont get it

[@lily_icycle]

its actually easy when you have heard of anything similar

[@zxt327]

Answer to the bonus riddle is 2 boxes. You check one box, if it is labelled correctly then you have solved the problem, if not then you have gained information about a second box as well. Since you know what the box you opened contains, say it contained carrots but was labelled apples then you know the box labelled carrots can't contain carrots. So you check one of the other two boxes as they are the only two that could be labelled correctly, either you open the correctly labelled box or the third incorrectly labelled box.

[@theunholytrinity1544]

yeah thats what i got too

[@andrejstojanovic5455]

ZX T just because a single one is labeled correctly it will not solve the problem

[@tinkut8960]

@@andrejstojanovic5455 The riddle says 3 are wrong so finding the correct one means the other 3 are wrong.

[@demy1761]

i love your riddles! they are hard, but it gets easier when explained!

[@paultuante]

I swear i have watched every single riddle video ted-ed has posted

[@DoggyBoy-vg8si]

I solved the second riddle for those who want to check: Let’s assume you didn’t get a lucky guess off the bat. If you open the Apple box and it has bananas in it. Then you can assume the Banana box is marked incorrectly. When you open the Banana box, and let’s say it has carrots in it. You then know that the carrot box is marked incorrectly, thus leaving the Date box to be the correct one. So in order to get the guaranteed correctly marked box, you will need a maximum of 2 guesses.

[@fos1451]

Doggy Boy 1320 yeah that’s what I also think

[@shmatts5269]

Solution: > sabotage all the boxes > rebels starve to death > Victory for the Empire!

[@gracesun5982]

Die stormtroopers die!!!!

[@danielcastillo591]

I love how the kingdom's name is just "distance" in spanish

[@jaffos9097]

I've only solved one of your riddles before today. This one I got on the spot! Proud of myself

[@athrasher4160]

Let E(x) denote "x is marked with an even number on the bottom" and R(x) denote "x is sealed with a red top" with all the boxes as the domain. Premise: b is a box such that (E(b) ∨ R(b)) = T. If E(b) = F, then E(b) → R(b) = T If R(b) = T, then E(b) → R(b) = T For the given premise, E(b) → R(b) is a tautology. This video made me study the discrete maths course that I've been ignoring for 3 weeks now lol

[@binitaagrawal7018]

Ted Ed : Stick around till the end for another bonus riddle Me : you mean bonus commercial right?

[@schizophrenicsnowman3226]

This has to be my favorite riddle shown so far, simply for how easy it is to be tripped up on it. Its like an unwritten rule that everyone just instinctively follows with the tops

[@LaGGSBD]

Can you solve the rebel supplies riddle? No but ill watch it so i can tell it to my friends to look smart

[@jonathanodude6660]

really?

[@zzewe1694]

LoL

[@rendazg]

Troll died in 1914

[@LaGGSBD]

ik i just couldnt be bothered to change my profile picture

[@FromTheMountain]

I thought that message by Renda was about the message, not the profile picture.

[@arusu6478]

Yes I can, and I did. My genius makes me feel so grateful for all those who taught me get to the level I am now. Merci a Ted-Ed aussi 👍🏾

[@aspa3318]

In my opinion to the bonus riddle, open any of the boxes, if it’s correct then wow u solved it, if it’s not, then open the one that it’s labeled as, so if bananas were in the apple box, then open the box with bananas and then open the one it has inside. And it would be impossible for the banana one to have apples

[@NoobMaster-tn8di]

3:43 Damn thicc 😂

[@jln3399]

That's literally what i was thinking the whole video. Wow what a hue jass

[@greenslimeswag]

Papyrus..

[@vietnamtoday9573]

EXTRA THICC

[@derusher2979]

@electric_hiccup 707 thirsty yeet?

[@Alkalus]

FBI OPEN UP

[@quahntasy]

First ever riddle I solved correctly. And 1:06 By suplies they mean ammo and stuff. Underwears are least of their worries lol.

[@Starling2100]

Quahntasy - Animating Universe they could be fighting a laundry war

[@LaGGSBD]

Can we bring back the quotes at the beggining of the videos?

[@TEDEd]

Don't worry, they're still there! This one was just an exception. :)

[@KyoushaPumpItUp]

They do not do that with riddle videos such as this one, if you noticed.

[@laurendyer2838]

Ian Cabugsa they do, check some other riddles on their riddles playlist. They can start with quotes.

[@siguy6412]

Very first TedTalk Riddle I got right!

[@leonardmerlin7926]

Also to identify all 4 fruits, you only need to open two boxes. The idea is, the three of them must be permutated in a circle. So you check one and its fitting its label, you go check any other one and know how the permutation goes. If the first one is not fitting you open any other box except for the one labeled as the fruit you found in the first box. Then you can see if it fits its label or if its also part of the permutation (together with the first box and the box which is labeled as the fruit inside the first box).

[@joeshmoe7428]

Solution: just don’t slip up when delivering to top class army soldiers

[@jkc-l8978]

Other solution: seal everything with red

[@crelos3549]

Just seal every box with a red top next time

[@Vic-zx1xc]

I am a very simple person, when i see a riddle vid by ted-ed, i click it

[@ErmisSouldatos]

For the riddle at the end: first, I replace the words with A, B, C, and D, for ease. I check box labeled A. If it has an A inside, I'm done. If it doesn't, it has another. Let's suppose that it has a B, since all are symmetrical, and if it had another one (C or D) I would just replace them in the solution and have the results in a simiral way. It really doesn't matter which one I check, from now on. If I checked box labeled C or D and found the correct product, I would have found them. If I checked one of them and found an A inside, the other one of those two would be the correct one. Even if I checked box labeled B, I would find a C or a D inside, and the other one of the two would be the correctly labeled one. Two checks are enough, no matter where the correct box is.

[@AA-100]

Yes, in fact you could open any two boxes at random and still find the correct box

[@b.snotty8173]

Who TF put the box lid down

[@myl25-]

When you realize your enemies are literally the same countries 0:59

[@circle4602]

Answer: No I can't

[@zainshirazi8542]

Yes! This is my first riddle solved on ted ed. Keep up the good work!

[@BrahmaVachika]

The first ted ed riddle I solved by myself and that too quickly😭😭 Hekkin proud❤

[@Hqrwey]

“Imperial protocal” Why does this sound like Star Wars

[@markdaniel9657]

For the bonus riddle: You only need t check two boxes at most. First, you check one at random. If it's correctly labeled, then the job is done. If it's not, look at what fruit it has in it, then check the box with that fruit's label. The content of that second box will tell us which of the two remaining boxes is labeled incorrectly. For instance. You check the carrots' box -> It has apples in it -> You check the apples' box -> It has bananas in it -> If the bananas' box contained the dates, then the dates' box would contain the carrots, meaning that all four boxes would be incorrectly labeled, so the carrots must be in the bananas' box, and the dates would be in their own box, being the only fruits labeled correctly.

[@Hydax_]

1:58 then why couldn’t we just mark all boxes with a red top

[@RickJaeger]

Got this one pretty quickly. A simple trick of logic and examining your assumptions.

[@Thoomas2001]

Solving a TED riddle before the riddle itself even appears on screen is the most satisfying thing ever. Also I legitimately found the numbers and colors one easier than the meat and vegan one, lol.

[@siobhanfinkielman32]

"Did you solve the riddle"? Nop but I like the animation 😂

[@priyanshusingh3451]

"Stick around after this episode for a bonus riddle" - TED ED

[@iso9881]

"Stick around after this episode for a bonus riddle." -TED-ed Damn TED-ed being inspirational

[@lightyagami6307]

😂😂🤣🤣

[@leafhoopin]

Me: Takes the tops off of all of the boxes but doesn't take the box off the con conveyor belt Ted-Ed: HAX

[@iftekharhossainiftee9915]

At last; a true riddle without a math problem!

[@wynautvideos4263]

Lol I’m learning about conditionals converses and biconditionals now in school so this was quite easy! Thanks for the riddles!

[@hanoihero8168]

Can we all appreciate how *_THICK_* the person in the surveillance room is.

[@commmander64]

I know right?!?!

[@commenturthegreat2915]

I've spent WAY to much time trying to figure out if I needed to take the first or third box... xD

[@matrixphijr]

3:37 - "The onions can go to either place" The steakhouse: "Hey, where are all those onions we ordered?" Meanwhile, at the vegetarian place: 📦📦📦📦📦📦📦📦📦📦📦📦📦📦📦📦📦📦📦📦📦

[@theguardian9810]

4:44 You need to open at least 1 box and at most 2 boxes. Suppose "X" is the first box you open: if "X" contains X, then you've found the three boxes that are labelled incorrectly. If "X" contains Y, then you should open "Y". Why? Because, if we know that ONLY 3 boxes are labelled incorrectly, then "Y" contains Z and "Z" contains X, and that means "W" contains W. Let us suppose "Y" contains X. This will lead us to two different cases: 1) "Z" contains Z and "W" contains W: that means 2 BOXES are labelled correctly. But we know that's impossible given the definition of the problem (first contradiction); 2) "Z" contains W and "W" containz Z: that means EVERY BOX is labelled incorreclty. But we know that's impossible given the definition of the problem (second contradiction). From this we can conclude that our supposition is wrong, and so "Y" doesn't contain X. This means "Y" contains Z, or W. Le us suppose "Y" contains Z and "Z" contains W: that means EVERY BOX is labelled incorreclty. But we know that's impossible given the definition of the problem (contradiction). That means our supposition is wrong. We know that "Y" contains X, as proven before, so that means "Z" doesn't contain W. So the only chance is that "Z" contains X.

[@steamer3930]

1:36 *THEN WHY DON'T WE JUST HAVE ALL THE BOXES HAVE RED LIDS!*

[@arpitjoshi5611]

I always wonder all the riddle loving intellectuals and no one talks about the solution of bonus riddle.. while for this one my answer is 2

[@lorcanowen-gibbons8889]

hm, i only got it down to three. if the first three you check are incorrectly labelled, you know that the last one is not

[@tinkut8960]

@@lorcanowen-gibbons8889 You can do better because if the second box you checked had the label of the item in the first box, then the box labeled with the item in the second box is also wrong. (Assuming you can't repeat any items.) It's impossible for the second box to contain the first's item because then the other two boxes would have to both be wrong or both be right, which isn't allowed.

[@HeadCannon19]

For the bonus riddle: you need to open a maximum of two of the boxes. If the first box is labeled correctly, then you already know which one is correct. Otherwise, you open the box that has the label of whatever food the first box actually contained. It's impossible for this one to be labelled correctly, or for it to contain the food from the first box's label, so it will contain food from one of the remaining two boxes' labels. Whichever one it is is obviously labeled incorrectly, so the other one is the box that's correctly labeled.

[@girlfoxproduction]

you only need to open 2 boxes. Box A, Box B, Box C, box D if you open box A and it has B stuff you open B it would have C or D stuff, whichever is not in it, has the right label on it.

[@demy1761]

i want more riddles! they are fun to watch! i love teded!😺😺🐶

[@minx.toesies2037]

I was constantly thinking *"ship them all and they can use the boxes they need and store away the ones they dont need."*

[@eon3595]

minx.toesies But then security would confiscate all of them.

[@marin-ss1sw]

I’d grab all of the boxes, check which ones are incorrectly colored, color them correctly and deliver all of them again. *big brain time*

[@daerdevvyl4314]

Lordri In the meantime, no supplies get through to the rebels and they all starve. There’s a reason why you’re supposed to only remove the boxes that are necessary to remove.

[@nicholasleclerc1583]

4:48 I never knew TED-Ed would be sponsored by Brilliant !

[@Ale-is1dk]

For the bonus riddle I think the answer is 2, you check one randomly and if that one is mislabeled you go to the one labeled with the fruit you found in box one, from whatever you find in box 2 you can deduce which one is labeled correctly

[@ItsSkylah]

for the bonus ridddle, you have to check 3 of the "boxes" since once you check 3 you will know what the lase one is. if all 3 don't match, then the one you didn't check does. and If you found the match in the 3, the 4th one does not match

[@InsaniquarianDeluxe]

The answer is actually only 2. Here's how you find out. In the worst possible scenario you never find the fruit that is matched with the correct box so lets assume you get the wrong fruit every time. So for the first check you do so randomly and find "Fruit A". Now you know two boxes that are labelled incorrectly: The one you grabbed out of and the boxed labeled "Fruit A". Now for the second check, just grab a fruit out of a box that isn't already known to be wrong. If you get the fruit which matches its box then you know which one is matching and if you get the fruit that doesn't match its box then the matching box will be the one that you haven't yet confirmed as wrong.

[@harshalshriramwar6028]

Solution: Step 1:Confirm you have green eyes Step 2:Ask the dictator to hand the government over to your side.

[@ltuyettrinh2]

I was waiting to find a comment like this. It’s become a recurring joke at this point

[@hulohyou8536]

So why are they more concerned about the lid colour and not about what's inside and the adress?

[@jwalczak662]

4:20 bad pun alert

[@NightingaleAnim]

I think this is the first TED-Ed riddle that I solved by myself!

[@Adam-jo3tr]

The first one I got right so far!! These are so much fun :)

[@harshilagarwal6295]

Better send all the boxes to the rebels

[@erhixon773]

Didn't you hear what happens if the boxes are labeled incorrectly? 1 or more boxes that are labeled incorrectly or violates the rules will cancel the shipment since it's going to be classified as confiscated.

[@Bruno-gn3lb]

@@erhixon773 he wants the rebels to get caught... 🙄

[@casshernsins8333]

Why tf is the enemy king allowing shipment supplies to go to the rebel base?

[@erhixon773]

@@casshernsins8333 They are not yet known to be rebels, they're still hidden.