HMMT 2018 U6
- Guts
- Answer
A bug is on a corner of a cube. A healthy path for the bug is a path along the edges of the cube that starts and ends where the bug is located, uses no edge multiple times, and uses at most two of the edges adjacent to any particular face. Find the number of healthy paths.
Dataset text NuminaMath olympiads. Quoted with source.
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6
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