That was awesome. Might need to rewatch for it to fully stick in but this is the best intuitive explanation I've come across. I'd love to see how a more rigorous proof matches up with the logic used here.
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So what I inferred from the last part was that when the monocoloured beads are subtracted,then exactly 'a' no. of strings are removed.But a is supposed to be the no. of type of colours used.I am confused.... But otherwise it was a good explanation.
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THe most intuitive explanation I've seen so far, now I'll never forget this theorem. Thank you!
This is an excellent demonstration.
It's an really Awesome combinatorial proof
Hats Off Khan Academy Labs!!!
That was awesome. Might need to rewatch for it to fully stick in but this is the best intuitive explanation I've come across. I'd love to see how a more rigorous proof matches up with the logic used here.
The 9th row in the 2:06 seems to be repeated with the 7th row :)
Yes, should have been 1001. That's the permutation that was missing.
@@wiscatbijles exactly!
GORGEOUS !!!!!!
YOU MADE IT SO OBVIOUS.
THANK YOU FOR YOUR EFFORTS !
Please donate to Khan Academy so that they can keep their good work and provide more free Education worldwide for our Children of the Beautiful Planet.
2:00 Didn't you forget the sequence pyyp (p=purple, y=yellow) for the sequences containing 2 of each color?
Yeah, he accidentally counted yppy twice
this is such a fucking good explanation
The most beautiful mathematical proof I have ever seen in my life
Stunning explanation
that was beautiful, thank you
Sog!!
Amazing video!
Thank you sir, thank you...
This is stupendous!!💜
you gotta be kidding me... this is awesome!
Great Explanation
Great Work!!
Brit your videos allow me to understand, which sparks my interest in the subject, which opens up a whole new world to me.
They really are too good for not to generate interest for the topic.
Wow, thank you so much😊
I never thought this way It was interesting
Whoa it's true, works with any numbers
Why does the last part of the explanation make sense? How does (a^p)|a = x remainder a ?
It divides evenly into cosets of size 3 which themselves groups but there is only one proper subgroup right?
Oh shit! My university professors should watch these videos first before teaching us.
0:33
So what I inferred from the last part was that when the monocoloured beads are subtracted,then exactly 'a' no. of strings are removed.But a is supposed to be the no. of type of colours used.I am confused....
But otherwise it was a good explanation.
Abhijit Bhattacharyya Because for every color, there is one string that is only made up of beads of that color
so can i say that the number of arrangemnts are n-1!/2
😎
fucking amazing !!!
this rule doesn't seem fundamental to me
That was ridiculous
watching at 1.5 speed why u talk so slow...good video anyways