The Stick and Balls Method

[@WrathofMath]

So apparently it's more commonly called the stars and bars method. The more you know 🌈 Join Wrath of Math to get exclusive videos, lecture notes, and more: kzbin.info/door/yEKvaxi8mt9FMc62MHcliwjoin More math chats: kzbin.info/aero/PLztBpqftvzxXQDmPmSOwXSU9vOHgty1RO

[@MichaelDarrow-tr1mn]

no it's stars and bars

[@Zoooooooooooo]

i would put that in the title or description to increase views. people are more likely to google stars and bars

[@dquixal77]

My teacher used to use the *Dicks and Boobs* method.

[@iamdigory]

Oh great, so I can be racist or obscene, great

[@dquixal77]

Why so serious ​@@iamdigory? 🃏

[@Martykun36]

✋ Stars and bars 👉 Sticke and balls

[@oliverb7897]

stick n balls

[@Zoooooooooooo]

ask your mom

[@sophiegrey9576]

stick n balls

[@Icetastesgood]

stick n balls torture

[@mekaindo]

haha, balls.

[@tim3line]

the freaky method

[@Gamr-bc6kp]

What if instead of mathematics it was freakymatics and instead of adding numbers together you added genitals together?

[@Zoooooooooooo]

the diddy method

[@matematixyt]

0:31 In true math problem fashion, these guys' initials spell out "A B C D". Can't have a math problem without these.

[@KPQZ]

Hi! You like maths. I don't blame you. Keep doing what you want to do. Bit surprising seeing you here. Also, here are some names I'll come up with on the spot for each letter: Aaron, Bobby, Chaucer, Dominique, Eric, Franz, Georgie, Hailey, Ian, Jack (you know... or perhaps you _don't_ know...), Kayla, Larry, Mike, Naomi, Owen, Patrick, Quincy, Randolph, Sally, Tanya, Ulrich, Victor, Wally, Xavier, Yanny, Zephaniah... actually quite strange. Huh.

[@somenerd8139]

@@KPQZare you good bro?

[@jurjen909]

​@@KPQZleast ai commenter

[@KPQZ]

@@somenerd8139 Am I good? Am I bad? Am I? What am I? It seems that I am a 'bro', by the way you address me! But are you lying? Are you telling the truth? Is this the correct conclusion, knowing that the lack of a comma seems to imply that you're asking if I'm a 'good bro'? Back to the point. Am I good? What _is_ good? Is good about quality or morality? Perhaps neither? Perhaps you've made a conlang where 'are you good bro?' means 'Thank you!', 'You're an idiot.', 'I can't read English, what does all of this mean?', or 'In the universe, we are just an insignificant blip in reality.'? Anyways, to answer your question, yes, I am indeed 'good'.

[@GuyNamedSean]

I prefer Alice and Bob.

[@rot_kir]

the stick and ball torture

[@vytah]

from Wikipedia, the free encyclopedia

[@mekaindo]

​@@vytahhaha

[@polymations]

💀

[@atampersandmanlol]

at *en.wikipedia.org*

[@spitsmuis4772]

7:30 An equivalent way to look at it (and which was the first that came to my mind), was to keep the original balls-and-sticks approach, but with three balls less (representing the minimum value of 1 for each die)

[@MathHunter]

❌Alice, Bob, Charles, David ✅ Adam, Bo, Chuck, Daryl

[@WrathofMath]

🤣🤣

[@Damien-d9f]

We needed a bunch of sticks and balls

[@elitettelbach4247]

The calculation for N choose M is one of the things that has stuck with me for so many years. Combinatorics is neat!

[@Intrebute]

Yo the fact that it reduces to powers of two is such a neat thing.

[@chocolatebar6785]

please cover the hairy ball theory 🥺

[@user-nex1us]

whats that?

[@trelligan42]

@@user-nex1us In topology, "You can't comb a hairy ball smooth."

[@user-nex1us]

@@trelligan42 Why would it need to be specifically about a sphere? That is true for anything with hair.

[@trelligan42]

@@user-nex1us Because it's a topology idea. You know, spherical cattle with uniform density and all that.

[@mystifoxtech]

@@user-nex1us actually it's only true for 3d manifolds with an even number of holes

[@adirmugrabi]

If Chuck gets no chicken wing it just takes them from someone else. Chuck is very distinct

[@moshadj]

When I saw the summation, I recognized the binomial expansion of (1 + 1)^(n-1)

[@Zoooooooooooo]

dude i have my exam next week and i needed this

[@WrathofMath]

Good luck!

[@ZilchZilch11]

It would be interesting to see if that last method could be adapted to count the number of partitions of n by imposing that the number of +s in a row is weakly decreasing.

[@acmhfmggru]

I was taught this as "stars and bars"

[@madelinew2884]

Does this method help with finding multiplication partner?

[@WrathofMath]

it's a theoretical possibility

[@Nargas011]

In the dice problem I think you would do permutation, like dice 1 and 2 roll 1 and dice 3 roll 5 is the same as dice 1 roll 5 and the others roll 1

[@lightningbolt9155]

You HAVE to have known what you were doing with that title 😭

[@Superskull85]

Later in the video you mentioned an invisible man but in the first example you didn't mention one and assumed they were at the very end. That example was not as clear as the later ones.

[@tiagonata1734]

I remember this method in my probability course

[@Maker0824]

That's a meaty example of those men's stick and balls

[@henrythearcticwolf4709]

Perhaps we can use the stick and balls method together 😏😏😏

[@bscutajar]

for the 3 dies equalling seven, why couldn't you find the ways you can make 4 and then add one to each? So for 0+3+1 the dice would be 1+4+2

[@vorquel]

For the last problem I would have recognized that we are summing over an entire row of Pascal's triangle which is a power of two

[@ahuman32478]

I call it stars and bars

[@logannuculaj487]

I learned it as stars and bars.

[@hancocki]

first pizza, now chicken wings? ❤❤ I'm all for math problems being solved with food. 8:29 Wouldn't the (6|2) solution assume the dice being rolled are distinct, such as rolling a red, blue, and green die set? If the dice are identical, my reckoning is there would only be 3 solutions, no? (1 2 4, 1 1 5, and 2 2 3)

[@midston5843]

Yes, this method counts different orderings as distinct. Counting unordered permutations is significantly more difficult.

[@georgielearnplay]

We should learn this in school

[@WrathofMath]

Yeah, it's a great technique!

[@Speed001]

I'm gonna be honest, i had a probability and statistics course, one of the big assignments was us making advertisements saying how its useful for our fields for the lower classmen. In the end, i doubt anyone was convinced of the usefulness of the course. It has it's uses, but it's far from a common tool.

[@turkeybywhatmeans]

i have a stick and balls too!

[@am-e7967]

"we need one fewer sticks than we have men" hmm

[@Quazex]

covalent bonds....

[@andrewcheng1948]

haha seex laugh now :gun:

[@FrankAnzalone]

Ever wonder why mathematicians define factorial down to 1 when one doesn't multiply anything

[@000aleph]

I'm afraid your answer to the first example (286) is too high because we know for a fact that Brian BO-itano got several chicken wings

[@writerightmathnation9481]

Misspelled “Beau”…

[@WrathofMath]

I call it a 'convenience spelling'

[@trelligan42]

On the contrary, I've known a Bo who was from Scandinavia (one of those countries up there). en.wikipedia.org/wiki/Bo_(given_name)

[@writerightmathnation9481]

@@trelligan42 lol

[@surrealreal_]

why are 3 of the names brawl stars references 😭

[@DJF1947]

The plural of die is dice, not dies.

[@Slinguh1111]

lol balls :))

[@joe_z]

What stick and balls? All I can see in the thumbnail is a mirrored Patreon logo.

[@Yipper64]

*balls*

[@jasonremy1627]

Say stick and balls again...

[@jasonnathanmason3547]

Ayo

[@Amexicantortilla]

Huh

[@GoodWill-s8j]

🫣

[@r-shu]

Ooooo, im early

[@RUBBER_BULLET]

Wrath of English pronunciation.

[@orrinpants]

Be honest, you clicked because of the title

[@UK_parliament_English]

Ｔｈｅ　Ｆｒｅａｋｙ　Ｍｅｔｈｏｄ