TT: Total number of pairings for a group of n people is (n^2 — n) / 2.

TT: You divide by 2 to cut the grid in half, eliminate duplicate pairs.

TT: Minus n is so you don't pair people up with themselves. That wouldn't make sense.

uu: AND WHY THE FuCK NOT??

TT: Well, because…

TT: I don't know.

TT: Maybe you're right. Maybe I was being close-minded about self-pairing. What do I know?