HMMT November 2022 U8
- Guts
- Answer
Kimothy starts in the bottom-left square of a 4 by 4 chessboard. In one step, he can move up, down, left, or right to an adjacent square. Kimothy takes 16 steps and ends up where he started, visiting each square exactly once (except for his starting/ending square). How many paths could he have taken?
Dataset text NuminaMath olympiads. Quoted with source.
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12
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