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MathNet 1984 — Part 01 Question 29

Math Olympiad Vault · MathNet 1984 — Part 01

Question 29

Two players play a game. Each takes it in turn to paint three unpainted edges of a cube. The first player uses red paint and the second blue paint. So each player has two moves. The first player wins if he can paint all edges of some face red. Can the first player always win?