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MathNet 1983 — Part 01 Question 27

Math Olympiad Vault · MathNet 1983 — Part 01

Question 27

A group of children form two equal lines side-by-side. Each line contains an equal number of boys and girls. The number of mixed pairs (one boy in one line next to one girl in the other line) equals the number of unmixed pairs (two girls side-by-side or two boys side-by-side). Show that the total number of children in the group is a multiple of 8.