olymmath

OMCC 2011 Problem 1

  • Day 1

Consider a cube with a fly standing at each of its vertices. When a whistle blows, each fly moves to a vertex in the same face as the previous one but diagonally opposite to it. After the whistle blows, in how many ways can the flies change position so that there is no vertex with 2 or more flies?

Dataset text AI-MO AoPS. Quoted with source.

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