olymmath

HMMT November 2009 F7

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Five guys are eating hamburgers. Each one puts a top half and a bottom half of a hamburger bun on the grill. When the buns are toasted, each guy randomly takes two pieces of bread off of the grill. What is the probability that each guy gets a top half and a bottom half?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{8}{63}

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