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My favorite proof of the n choose k formula! 

Mu Prime Math
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The binomial coefficient shows up in a lot of places, so the formula for n choose k is very important. In this video we give a cool combinatorial explanation of that formula!
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Music: OcularNebula - The Lopez

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7 окт 2024

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Комментарии : 65   
@Mrcloc
@Mrcloc 8 месяцев назад
You're a good teacher. You repeat things without sounding like you're repeating them. Gives time for things to sink in and gives a few ways to think about it.
@azzeddinebekkari1935
@azzeddinebekkari1935 10 месяцев назад
I am a mathematics Ph.D. student, and I use this formula all the time I never thought of its proof, I really found this proof elegant and well explained. Thanks.
@vanishmanesh
@vanishmanesh Год назад
Really elegant and clearly communicated. You're underrated. Thanks
@dr.mikelitoris
@dr.mikelitoris 2 года назад
Sorry babe you’ll have to wait mu prime math just uploaded
@jorgeuliarte2641
@jorgeuliarte2641 2 года назад
Very good, as ever. Thanks for your efforts to bring this science to everybody. From Salzburg, Jorge
@reshmabhagwat7832
@reshmabhagwat7832 Год назад
Very good, but need to watch this again and again to grasp it completely. Generalizations are always more difficult to prove than specific cases. Thank you.
@ianyu4281
@ianyu4281 3 месяца назад
ACT student here. had a question that needed this equaiton for a question. Explanation really made it clear how this works. Thanks
@frankyin8509
@frankyin8509 2 года назад
bravo 👏🏻 i’ll never forget the induction of that formula
@chandansinghdhami2005
@chandansinghdhami2005 Год назад
I am learning from nepal. I love the way you teach.
@mrigayu
@mrigayu 2 года назад
Love the t-shirt! And that is indeed a great proof
@eldestisland4520
@eldestisland4520 Год назад
This was extremely clever! Thanks for the explanation 👍
@MrsBostic-h2i
@MrsBostic-h2i Год назад
Clearly stated. luved it! Bravo'
@t0ny360
@t0ny360 7 месяцев назад
Amazing proof! Very easily digestible, great content
@gffhvfhjvf4959
@gffhvfhjvf4959 5 месяцев назад
Beautiful and intuitive proof
@DirtyHuman4831
@DirtyHuman4831 2 года назад
Lovely proof. This video can be enjoyed by any level of student.
@Couldyanot
@Couldyanot Год назад
What a perfect explanation, well presented as well
@chriserickson
@chriserickson 5 месяцев назад
Thanks. Should help with my test.
@farrukhazfar6185
@farrukhazfar6185 5 месяцев назад
Best proof of this I've ever seen - I wish you had been my high school teacher
@tomkerruish2982
@tomkerruish2982 2 года назад
Nicely done! Still waiting for you to start lecturing from 201 Bridge or 22 Gates.😁
@themathsgeek8528
@themathsgeek8528 2 года назад
This is a cool proof! Thanks :)
@dqrksun
@dqrksun 2 года назад
Cool intuitive proof!
@handlebred
@handlebred 2 месяца назад
Great video bro
@roberttomi8800
@roberttomi8800 Год назад
So well explained, thanks
@dwoodlock
@dwoodlock 3 месяца назад
That was great.
@bilalabbad7954
@bilalabbad7954 2 года назад
Thanks for explanation
@Lavamar
@Lavamar Год назад
Really well explained, thanks.
@joetursi9573
@joetursi9573 Год назад
So nice!
@ghaida101
@ghaida101 Год назад
Well explained. Thanks!
@pdjibril
@pdjibril Год назад
Awesome!
@joelklein3501
@joelklein3501 2 года назад
Fantastic!
@jfcrow1
@jfcrow1 2 года назад
k! is order mattering -> (n-k)! is order mattering. -> n! is number of orderings with ordering mattering -> n choose k is ordering not mattering Whattt?
@fullaccess2645
@fullaccess2645 2 года назад
when you group them in boxes, many orders go to a single point. you only have to figure out the total number of orders (n!), and the number on of orders per box (k!(n-k)!).Then you divide the total by the boxes' total and you get the amount of points.
@reshmabhagwat7832
@reshmabhagwat7832 Год назад
This is brilliant. What I think though, is, you can add some specific example and explain it in the same way. I know that if you would have explained it with just an example, I would have asked about the generalization after that. But first general proof and then an example, I think is be better. Do not worry though, because I am trying an example myself. Thank you for a great explanation. Please let it be my favorite too.
@fromhua
@fromhua 28 дней назад
why do we have to multiply n choose k at the end to make n!😢😢
@lilblckgrl
@lilblckgrl Год назад
Another lefty🎉
@SimchaWaldman
@SimchaWaldman 2 года назад
Very nice!
@ia6761
@ia6761 21 день назад
beautiful
@ketlebelninja
@ketlebelninja Год назад
You make this look so easy..m thanks
@deathstorm1190
@deathstorm1190 16 дней назад
this feels like factor groups in abstract algebra, each subset of permutations feel like a coset. but what is the normal subgroup? or is this just completely different?
@leoWorldBestGamer
@leoWorldBestGamer 9 месяцев назад
Hello im a professer! This is amazing how its proved!
@armanzanjani9249
@armanzanjani9249 11 месяцев назад
Very helpfull!
@jonathangordon4428
@jonathangordon4428 5 месяцев назад
Is there a simple algebraic proof for why these binomial coefficients are integers, given that formula? i can see why either (n-k)! or k! divide n!, but not why the product (n-k)!k! divides n! ... Seems spooky to me
@srivatsav9817
@srivatsav9817 2 года назад
Nice video!
@aditya_arya
@aditya_arya Год назад
sorry but i couldnt get it after 1:30, maybe it was just me
@ishikuultra8997
@ishikuultra8997 2 месяца назад
where can i get that shirt?
@kca698
@kca698 Год назад
first time ive noticed someone writing overhanded, with a functional hand
@davide816
@davide816 Год назад
perfect
@kub8675
@kub8675 15 дней назад
Holy shit dude I get it
@nuklearboysymbiote
@nuklearboysymbiote 2 года назад
Yooo thats pretty goood
@samstreet6595
@samstreet6595 2 года назад
That was a cool
@VIDHEESHKUMARKASANAGOTTU-s3w
@VIDHEESHKUMARKASANAGOTTU-s3w 8 месяцев назад
😊
@999_blake
@999_blake Месяц назад
Legends watching before Exams
@TravisSmith-f8r
@TravisSmith-f8r 10 месяцев назад
Travith B.I.B.L.E
@DimitriMissentos
@DimitriMissentos Год назад
Whaou😊
@princessdacecantila1441
@princessdacecantila1441 2 года назад
Tama Bayan ang answer
@TravisSmith-f8r
@TravisSmith-f8r 10 месяцев назад
mathematical bible
@bayan9463
@bayan9463 4 месяца назад
😂 literally
@Impillion
@Impillion Год назад
Excellent video sir
@VIDHEESHKUMARKASANAGOTTU-s3w
@VIDHEESHKUMARKASANAGOTTU-s3w 8 месяцев назад
😊
@princessdacecantila1441
@princessdacecantila1441 2 года назад
Tama Bayan ang answer
@VIDHEESHKUMARKASANAGOTTU-s3w
@VIDHEESHKUMARKASANAGOTTU-s3w 8 месяцев назад
😊
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