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TOT 517 1996 Autumn S O4 n +1 girls and n boys

Source:

August 16, 2024
combinatorics

Problem Statement

For what integers n>1n > 1 can it happen that in a group of n+1n +1 girls and nn boys, all the girls know a different number of boys while all the boys know the same number of girls?
(NB Vassiliev)
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