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Found problems: 1

2024 Korea Junior Math Olympiad (First Round), 10.
Tags: combinatorics , combinatorics counting
Find the number of cases in which one of the numbers 1, 2, 3, 4, and 5 is written at each vertex of an equilateral triangle so that the following conditions are satisfied. (However, the same number is counted as one when rotated, and the same number can be written multiple times.) $ \bigstar $ The product of the two numbers written at each end of the sides of an equilateral triangle is an even number.