Combinatorial Arguments

See "The Art and Craft of Problem Solving" by Paul Zeitz to see more cool stuff like this!

Combinatorial argument is a method to avoid algebraic or bashy solutions instead allowing a flexible perspective to give simple solutions. More often than not, combinatorial arguments additionally explain why such relations occur.

00:00 Intro
00:22 Simple Examples
02:32 Reflective Property
02:50 Pascal's Identity
03:43 Team Leaders
04:36 Square Sums
05:42 AIME Combo
07:16 Outro

Music: Midori - Variations on "The Last Rose of Summer" by Heinrich Ernst

[kishorerajesh]

The assertions of the quotes at the end are 100% true don't let Michael tell you otherwise

[ramakrishnasen]

And I must say that was like the smoothest demonstrations ever made on combinatorial arguments (dont get flattered now! 😂)

[ramakrishnasen]

Hey man you should make some more videos on combinatorics and some cool tricks like these! Idk why you've stopped, but I think you shouldnt have

[Dd-kbhm]

Thanks alot this really helped me out :)

[anonymousanonymous]

is there no concrete methods to solve these proofs? idk what to show as solution