HMMT 2006 C3
- Combinatorics
- Answer
A moth starts at vertex of a certain cube and is trying to get to vertex , which is opposite , in five or fewer "steps," where a step consists in traveling along an edge from one vertex to another. The moth will stop as soon as it reaches . How many ways can the moth achieve its objective?
Dataset text NuminaMath olympiads. Quoted with source.
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