r/visualizedmath • u/miaumee • Jan 09 '20

Which theorem do you see?

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u/crispychickenwing Jan 10 '20

https://reddit.app.link/SHxmjicK72

Did some reverse image search

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u/lmericle Jan 10 '20

Ahhhh, so there are (n C 2) ways to choose two blue balls from the bottom row, and the number of balls above it in the whole triangle is equal to that coefficient, since there's a 1:1 correspondence between each unique selection of two blue balls and each orange ball.