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When the Rockets win a basketball game, the 12 players on the team give each other high-fives. How many distinct high-fives are given?

A 24

B 36

C 66

D D96

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Harvey Mudd College

Baylor University

Numerade Educator

University of Michigan - Ann Arbor

So we have 12 players and they want to give each other hot Bob's. And we have to remember then the player a giving a high five to be is the same. That's giving. Be giving a hop out a Those were the same high five. This becomes a combination, and we're gonna do the combination of 12. Choose to cause you to players to give 1/2 a, um and so that's gonna be 12 times 11 divided by two times one, which is 132 divided by two for 66 would just choice see?