How to tell the difference between permutation and combination

[@Xforeverlove21]

If anyone is confused with the school board questions. The first one is combination because it said "3 people" which is to say ANY 3 from the 8 will do. The next one says "3 DIFFERENT responsibilities" which is to say it matters which 3 from the 8 gets which unique responsibility. Essentially for these problems pay attention to wording.

[@tatendacharleszindoga7542]

Thanks because I had combination. I really over looked the word different.

[@Chrisd0ntmiss]

Thanks

[@skotskot3379]

💀💀💀gonna have to take some time getting used to these

[@MindMatter97]

The video was helpful , but your comment was more helpful than the video ❤thank u

[@AbrahamMorris-kq2ll]

Can I send you a question on it

[@moonfog6888]

Thank you! My takeaway: • Permutation: - arrangement - order matters, i.e., A, B ≠ B, A • Combination: - selection/choice - order doesn't matter, ie, A, B = B, A

[@danielschaben]

Glad it was useful! Thanks for the comment.

[@casmirchris6990]

5 years ago and this is still gold! Thank you so so much for this. i understand the concept now

[@jackp8687]

Thank you for actually explaining how you do things and not just what to do. You are a God send.

[@danielschaben]

Glad it was helpful

[@rehmanali4529]

Who else is here one night before the examm

[@danielschaben]

Good Luck

[@ImGoldden]

One hour

[@alpha.epsilon4621]

Too educational and the examples are understandable just goes in my mind this topic took my teachers 2 weeks to cover still can't get what my teachers thaught but ur 8 minutes videos just helped me out in the best way

[@shapi9861]

Why these word problems are so easy while my teacher gives the most confusing ones. This is the only time i've predicted everything right 😂

[@hope7212]

Samedt HAHAHA ang hirap yawa may exam kame in 5 minutes zzzzz

[@Chrisd0ntmiss]

😂😂

[@christophershanklin112]

😂😂😂

[@silverstream233]

so why is our locker code called locker COMBINATION and not locker PERMUTATION if the order matters? (this is what my math teacher said btw)

[@danielschaben]

I will have to use that one. Thanks!!!!!!

[@melissabarredo1267]

jungkook i thought you graduated already? XD

[@gretawilliams8799]

Bangtan_Animegirl Wrong sound

[@soapboy5556]

FooBar Maximus can you prove what you’re saying? sorry it’s just I’m a bit skeptical of what you’re saying

[@phuongnguyen-kc8hi]

FooBar Maximus shit you’re a genius just blame it on your proffessor and scientists. Its always not your fault but its always someone else fault. What a genius.

[@emmett9199]

Thank you so much! I was having a bit of trouble with recognizing a permutation vs a combination, and this video cleared that up nicely!!

[@danielschaben]

Glad it helped!

[@ben2808]

Jesus Christ loves you

[@reasonableraisin3366]

@@ben2808 i do too

[@jamiesuka813]

This is the second video that I watched so far in two hours about permutation and combination. I like how this video focuses on the differences between the two which helped me understand it a bit better. The number of examples also was very helpful. Thank you Jamie Toloa

[@nitinsharma1012]

Hey Jamie

[@dainedada]

I just had my Eureka moment! Thank you for this video!

[@joelnicholson545]

@Daniel, Thank you so much!!! I figured it out, turns out that I didn't do 3.2.1 and ended up with 6 at the bottom, that's the only mistake I made. But I really appreciate your help!!! God Bless you!

[@intelilearning8341]

Great Video 👍 Tip: Use "Universal Calculator"(formula mode) App to perform Permutation and Combination automatically, this helps to verify your answer, learn and understand quickly. Download from Play Store : play.google.com/store/apps/details?id=com.shahalam7862020.calculator

[@anitakhanal6682]

@@intelilearning8341 I'm not My kwo look ok l Ok I'll only usually,

[@ben2808]

Jesus Christ loves you

[@kennethchidiebere9927]

This Last 2 questions is the one I have been struggling with from my textbook but u have done justice to it, thanks man👌

[@adrianazul4229]

I will be regret if i dont watch this vid before answering my final exam..it helps A LOTTTT..likeeee it really make me understand the concepttr

[@snakebytes4324]

i feel like you couldve explained why it would be a permutation or a combination better... im still confused

[@danielschaben8312]

Will do some work on this when I get my equipment replaced. I see that this is a topic that needs several clarifying videos for.

[@swallow1106]

When the "bucket" is unique, you never double count. When the "bucket" is not unique, you have to account for double counting. Quick example. If A B C are receiving 2 x $5 dollar bills (bucket). You will end up with A and B , B and A, A and C , C and B. See how A and B is same as B and A since the $5 dollar bill isn't unique and you will need to remove this later. If A B C are receiving a 1 dollar bill and a 5 dollar bill you will end up with: A(1dollar) and B(5dollar), B(1dollar) and A(5dollar) in this scenario you don't have to worry about double counting.

[@silverbowftw5225]

@@swallow1106 what?? Omg

[@ck4786]

Basically the difference is that in a Permutation, the order matters. In the first example in the video, 3 people were to be chosen out of 10 for 3 UNIQUE prizes (the $20, $10, and $5 prizes). Meaning that the same person who wins the $20 could not also win the $10 or the $5 prize, the prizes are unique. This question could have been made into a Combination problem (where order does NOT matter) by asking how many ways can 3 people out of 10 be selected for the SAME VALUE of prizes (three $5 for example). It doesn’t matter if you win the first $5, or the second $5, or the third $5... you’re getting the same prize. Basically it’s about whether what you’re calculating the probability is for a unique thing or just multiples of the same thing. I hope that helps somewhat.

[@lulu-723]

@@ck4786 thank you

[@hakurouxavier8560]

Finally!!! A video with my type of calculator

[@dileaman]

calculator app link please

[@thegamingmachines3703]

thank you SAL i just randamly searched for difference i never thought that you would teach it because just before this video i had watched a video of yours at khan academy iam happy with the coincincedence

[@goriolaganiu403]

You really answer my nagging question which is different between knowing combination and permutation from the term of Selecting*...if the selection is termed Different then use Permutation and if rephrased as Same then apply Combination

[@tianavi213]

Thanks a million! Even though I study Math in Arabic this video helped me to differentiate between Choose and Pick.

[@danielschaben]

Glad it was helpful! The video in the discription is my remake of this video. It goes into more depth

[@dumisanichitaukali929]

no longer confused ..good job sir

[@danielschaben]

thanks a bunch

[@STRAIGHTUPSTEAM]

Just the refresher I needed before my finals

[@stablility1043]

My exam is today. This video explained the topic SO WELL. I'm finally looking forward to my exam.🎉

[@wesdasavage1412]

This video was very helpful I now know the differences between the two

[@matrixfafnir6463]

thankss !! next tomorrow is my biggest exam in my life and i know how to solve it in additional mathematics exam !! thank :))

[@daddyme6297]

This helped me a lot, thank you so much, you are doing a great job 👍

[@josephstepp6325]

thank you! Have a test tomorrow on a bunch is stuff on probability, this is the one thing that confused me on identifying them but much more clear now

[@silverbowftw5225]

1 year later.. how did it go

[@rishikeshs2924]

I found it so helpful for my exams thanks

[@humzzatzz9786]

I still didn't get why you divided it by 6. You mentioned that we may have counted twice, but what's exactly the 'twice' thing ? Even though I tried it one by one and scrolled through people's explanation, I'd still scratch my head.

[@rahulraveendran7200]

in permutation/arrangement (20$,10$, 5$ example)order is important i.e it matters to whom we give the first second and third prizes. But the order is not important in combination/selection(same 5$ prize example). so when he took 10*9*8 , he has also counted 3! (or 6) additional possibilities i.e 1st 2nd and 3rd person getting the same 5$ prize . Lets say the prizes are A,B and C(permutation). these can be arranged 3! ways that is ABC,ACB,BAC,BCA,CAB and CBA. but if these are all the same prizes i.e AAA they can be arranged only 1 way(combination).

[@zaidali9163]

@@rahulraveendran7200 Yeah, so basically he counted the 1st,2nd and 3rd prize twice so he divided it by 3! as there are three prizes and the order does not matter as the prizes are same.

[@tdpencil2811]

The answer is simple. 3*2*1 is 6 Dumbo

[@expertiselegends5306]

A tip: If you're shortcutting anything in a tutorial or shorthanding something, make sure you explain why you took certain steps (purpose).

[@senyamax]

Thank you. You just made my day . Because I have test tomorrow. 😘😘

[@danielschaben]

You're welcome. Glad I could help

[@vidajabari6508]

Thank you so much it was so clear i had problem with identifying the permutation and combination

[@johnnyandrew4515]

This is such a hidden gem in yt. Got knocked around where about and I clearly understand the difference between the two. Thank you Legend

[@danielschaben]

Thanks for the comment!. Best of luck!

[@Apisorn31]

Thank you! I’m trying to teach my students about this and it’s still hard for me to tell lol

[@danielschaben]

One of the most difficult topics in math in my opinion

[@dbuc4671]

@@danielschaben thanks for relating lol its a relief for people

[@DK-tv6rk]

@@danielschaben This is harder than limits and derivatives

[@AGUYNAMED278]

3:14 I did the permutation so 🤔 I guess this one must be combination. I like how you knew that

[@chrissystewart6268]

Wooow my teachers never taught me this in school this is my first time learning permutation & combination

[@danielschaben]

It us a topic that is often skipped or glazed over because many people just don't understand what is going on.

[@jeanvillete]

The first example could be a bit cleaner, cause the way it was expressed I could apply either permutation or combination, depending on the understand; In a group of 10 people, a $20, $10 and $5 prize will be given. How many ways can the prizes be distributed? In case I assume these three prizes are going to be distributed in a draw/lottery way, I would apply on it a combination (10 choose 3), but if it was said the context as a race for example, so I would understand it as an ordering thus applying the permutation (10 permute 3).

[@danielschaben]

I see that a race would make it clearer. In my mind I am seeing who gets each prize like a first second third. $20 is first, $10 is second, $5 is third. Actually when I made this video, I thought it would get 10 views a year.... not 1000s per day...... it is a strange video to be my most popular. I though my Permutation video and my combination video would be more popular. Both use cleaner examples with cleaner explanations.

[@aditipatra6837]

Omg wish my math teacher had told me that earlier. Tysm!

[@liv1158]

Thank you so much! This is SO helpful, you have no idea!

[@yordanoskassahun225]

I understand ur video ,i hope i get good results for tmorrow exam

[@yordanoskassahun225]

Guys the exam was a piece of cake ,thank God

[@syn586]

This video serves as a good revision of this topic.

[@qifanguo5549]

damn thank you so much, i understand within the first two mins . your example is on point !

[@danielschaben]

Thanks!

[@Charles-F]

I have been trying to find something about permutations thank you so much.

[@danielschaben]

glad I get help you. Sorry I am late replying

[@MyKombucha]

So helpful. Thanks for throwing one with a twist!

[@danielschaben]

You are so welcome!

[@rohan2628]

Thanks good explanation.

[@danielschaben]

Thanks

[@ishmeetbindra5428]

Thanks for the video.You explained the difference quite well

[@user-ev6uw1yh8o]

you are the best

[@danielschaben]

I wish. Maybe youtube would buy me cars. Lol. But thanks

[@MaverickRunner]

You are Lord Hanuman , thanks for saving me 🙏👍

[@sajibmannan]

Such a life-saving video!

[@danielschaben]

Well thank you. It has been a strange video. I remade it from comments that I received, but it remains incredibly popular for some reason. Thanks for the comment and I am so glad I was able to help you.

[@santununagchowdhury]

Thank you sir ! great tutorial . This examples are very helpful to understand . :)

[@foivechan]

Thank you. You really helped me understand this topic very well.

[@danielschaben]

Glad it was helpful!

[@ksi4442]

thank you man unfortunately my professor likes to make up questions that are 50 x harder than this :(

[@natalieroberts9921]

my final is literally tomorrow freaking BLESS this video just saved my life

[@kishanmehta1102]

lmao. How did the Exam go?

[@1polyron1]

@@kishanmehta1102 she died

[@jelenakrstanovic9934]

Great explanation.

[@user-tp4mj8rl2f]

جزاك الله خيرا ❤❤❤وشكرا جدا ع شرحك الذى لايوصف 😊

[@danielschaben]

I hope God rewards me as well. Glad it was useful. God Bless.

[@shivenbooks4931]

Thank you so much sir...... May God bless you... this is the video by the help of which i understood the concept....

[@stockmarketanalysiswithbha3341]

Thanks You clarified my confusions

[@juliusvillanueva7865]

I like the way of teaching except to those parts that you were using a calculator to solve it. Maybe you could help us more by trying to show us how to solve it in a practical way rather than using shortcuts. Because in exams, calculators are not allowed.

[@danielschaben]

Julius Villanueva good to know. Will do one without a calc

[@_________________404]

In my country it's called a variation when K < N or K != N, and they only call it permutation when K = N. But I guess in America you just call the while thing permutation.

[@summeraustin-guevara3162]

Very helpful, thank you!

[@shreyasmoments]

THANKEWWWWW it helped a lot my whole concept is clear now😍

[@danielschaben]

You are very welcome. Glad it was helpful!

[@shreyasmoments]

@@danielschaben 😍❤️

[@utamaputranto]

wow this is great stuff.. thanks for sharing this.. love from indonesia

[@kattta2050]

😊 great video sir🎉

[@danielschaben]

Glad it was helpful. Thanks fir the comment

[@Mgdr2011]

Thank you so much!!!

[@danielschaben]

You're welcome

[@harrycarson11]

Really good video, thanks

[@danielschaben]

Your welcome. So glad I could help

[@Worldexplorer2390]

I’ve been stuck on this certain problem. 5 letters a,b,c,d,e. How many ways can we have a distinct sequence using 3 letters? A or b or both must be included. The answers is 54 ways but don’t know how they got there. Event 1 has a c d e because b is not included. There is 3 events each adds up to 18 for 18+18+18 = 54 ways

[@danielschaben]

Give me a minute and I will post the problem and how I think of it. sorry had company all weekend so haven't had time to read comments. Will post something shortly. It will be in my channel as a new video.

[@danielschaben]

kzbin.info/www/bejne/hpCmmKuPfbejntU

[@Worldexplorer2390]

searching4math thank you so much I really appreciate it

[@sumiransubba3227]

Thank you so much this really cleared my doubt

[@danielschaben]

You're welcome

[@makakamir]

Great video. Btw, what software are you using for writing?

[@danielschaben]

UPSC SSC GURUKUL smart notebook

[@indeedinteresting2156]

Ok, so basically *PERMUTATION* is when the *ORDER* of *r* *MATTERS* , and *COMBINATION* is the *ORDER* *DOES NOT MATTER* . Thank You.

[@lilacyanjing2059]

Yerinie?

[@indeedinteresting2156]

@@lilacyanjing2059 ahaha hello buddy

[@wbaatz]

kzbin.info/www/bejne/nHWQkpKPe9qMi5I You can watch animated .if you like

[@haroldthomas1576]

Thanks! I wished you would have spend a little more time on that last problem--it was a little harder!

[@danielschaben]

Harold Thomas good to know. Thanks

[@edberaga6357]

THANKS man!! you help me a lot! this is why I love youtube than my lame college,,, becuz youtube has much more understanding and better education then my college lmao

[@danielschaben]

Your welcome. Glad I could help

[@Jivanam_anubhavah.]

In some ques (not in ur videos) , its difficult to guess orders matters or not? then how would v know that its permutation que or combn que?

[@areebqamar4206]

It was really helpful, butt please explain a little more about why we divide when order does not matter

[@danielschaben]

glad i could help

[@archit7538]

Great help to my basics ... Thank you so much :)

[@danielschaben]

Happy to help!

[@kashishahmad5818]

Finally, got it!!😭👍🏼

[@abdullahalmonaem335]

Good Job. Thanks a lot.

[@ck4786]

So helpful! Thank you!!!

[@danielschaben]

your welcome

[@mythl2179]

i am really confused. Take the example "locker combo" firstly the point of this comment is not that locker combo should be locker perm i already got that cleared. Continuing, if your locker "combo" is 5432 and you enter 2345 it will not work, because order does matter in a permutation, right? Then why does a permutation have more results than a combination? If this locker would also open with 2345 then there should be more results, correct? And then I also don't understand why there's only 1 answer and how I'm supposed to plug in that for an equation nPr??? or for cPr? basically what im saying is why do permutations have more results than combinations if order is relevant in perms and certain options will be removed, where as in combination those options will be kept as choices? I can see it in the formulas, but I don't know truly know why perms have more results. also...for 4:45 and 6:00 why are they not the same answer? Can't you interpret the 3 people chosen as the ones with responsibilities? This makes my head hurt. please help i have a major test with probability being 1/4 of it and it is pretty soon.

[@danielschaben]

Sorry I have not been replying in a short period of time. I have lots of excuses. Thank you for giving me such a well thought out question. This is a lot to unpack. In a locker combo where your have four combinations that can all be the same number, for example 0000 is a legitimate possibility. and there are 10 symbols that can go into each spot in the proper order from left to right.... Using fundamental theorem of counting we would have 10*10*10*10 possible combinations for this locker key. Or 10,000 possible values. This is neither a combination or permutation. It is a simpler problem of the fundamental counting theorem. I can see now how my video is confusing. A permutation means we pick the combination in order and then cannot reuse the thing we picked. So you would get 10*9*8*7. Or 10p4 or out of 10 things we choose 4 where order is important and we cannot repeat a symbol (so 0000 is no longer a possible locker combination) now we have 5040 ways to choose the locker combo and indeed 5432 would be different than 2345. In the case of the word combination. which should not be confused with something you do with your locker, as it depends on the devise you use.... In my mind the mathematical definition of a combination is a permutation where order is not important. In this case if you get any number correct in any order you will unlock the locker and again 0000 or 5555 is not a possibility. Which I am not sure of a mechanism in the physical world that would produce this..... an any rate 5432 and 2345 would be the same code and unlock the locker.... In this case you would divide 10*9*8*7 by the number of ways to rearrange the 4 numbers (4*3*2*1) so 5040/24 = 210 so now we are down to 240 possible values. I am not sure I am helping you here, but you have given me yet another angle to approach these problems. This is a great example to show the difference between the three things we are talking about. the fundamental counting Theorem, Permutation, and Combination. Those are the big 3, and in my experience the only way to truly understand them is to get down and dirty working tons of different types of problems and finding your own understanding. There are two things to avoid in this world and both lead to self destruction. Always avoid knowledge and money you didn't work your ass off for. Or in other words as a positive. Always work hard for your knowledge and money, so that they are truly yours and only one can be stolen from you. They have to kill you to steal the other, and it is not stolen, just lost.

[@basitowolabi4523]

thanks so much it was helpful

[@erickgaray463]

i understand the multiplying part in the last question, what confuses me is why it was a combination and not a permutation. was it because they're all just in a committee, an all receiving the same position in the committee? and why it's choosing 2 girls out of 5 instead of 8..and same for the boys instead of 8 choosing 1 its 3 choosing 1

[@sabihahzainuddin6980]

thank you so much!!

[@celiaargent8895]

thank you!! An amazing explanation))

[@prathameshmadankar9708]

Thanx a lot... It really helped me...

[@nishanthapa4226]

Thanks bro, it helped a lot

[@maajidahmed8837]

That was really good video

[@OfFieldsAndMeadows]

I just had an Oooooh moment! Thanks so much!

[@danielschaben]

You're welcome and thanks for the comment.

[@natstanton252]

this helps. thanks very much

[@RoninSama.official]

If the word "responsibilities" were to be included in the first sentence at 7:45, would that make it permutation?

[@danielschaben]

if each person on the committee was assigned a different responsibility then it would be a permutation. like picking a president vice president and treasurer out of 10 people. if they all have the same responsibility.... then it is combination

[@gilbert7764]

wow i understand so much

[@olivianoyce2171]

In the last question you divide by 2 to get the number of combinations for the girls part without repetition, but where does the repetition come in?

[@satyabanukil779]

If there are 10 teams playing, what will be the formula to rank them 1 to 10 based on the scores if each team. Thnx

[@danielschaben]

10!

[@danielschaben]

Your placing them so order matters. 10 *9*8*7*6*5*4*3*2*1. 10 ways to pick first, 9 ways to pick 2nd...etc

[@satyabanukil779]

@@danielschaben Thnx for your prompt response Sir. Then for the 9th rank should there be 2 ways. Shall be grateful if any illustration is shown. Regards

[@vishalkrishan8988]

good video

[@danielschaben]

Thanks for the visit

[@fireflies15]

This is great thank you

[@shokobo1647]

There are 1000 ways to distribute the prize! lets start with the first person: the first person can not seat in 3 chairs at the same time but it can certainly win all the 3 prizes. So this is 10 * 10 * 10 = 1000

[@rabeeaahmad875]

For the last question, I believe there would be an extra 3! multiplied to the answer because the order of how you choose the 1 boy and 2 girls does not matter. You could choose G1 then G2 and then B1, or B1 then G1 then G2, etc...

[@danielschaben]

Rabeea Ahmad that is possible. I would look at it again. Nice thought.

[@rabeeaahmad875]

thinking about it again, there would be no 3!, I was getting my permutations and combinations confused

[@gayathri2205]

@@rabeeaahmad875 But shouldn't the final answer 30 be divided by 8C3 since we are picking a committee of 3 from 8 people?

[@RockingScience1]

in how many ways can we select three students from a group of five students to stand in line for a picture? Is it a permutation or a combination please?

[@lukerasmussen6110]

Lifesaver 🔥🔥🔥

[@sangiprotector9022]

Thank you for the video! It helped 💗

[@user-ir5ht1jz8n]

The first question about the committee was incorrectly identified as a combination. It would be a permutation because they need 3 people and a person cannot be on the committee twice

[@abhimanyusrinath9005]

In the last question the order matter since we are choosing a given no. Of girls and boys..... Please clear my doubt.. that how is it a combination....

[@danielschaben]

It is a combination because it does not matter what order we choose the girls and it does not matter what order we choose the boy, but since we are just choosing one, it is irrelevant.

[@caitb8260]

great video thank you!

[@danielschaben]

You're welcome