olymmath

HMMT 2002 U38

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Massachusetts Avenue is ten blocks long. One boy and one girl live on each block. They want to form friendships such that each boy is friends with exactly one girl and viceversa. Nobody wants a friend living more than one block away (but they may be on the same block). How many pairings are possible?

Dataset text NuminaMath olympiads. Quoted with source.

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89

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