1988 IMO Problems/Problem 2
Let be a positive integer and let be subsets of a set .
(a) Each has exactly elements,
(b) Each contains exactly one element, and
(c) Every element of belongs to at least two of the .
For which values of can one assign to every element of one of the numbers and in such a way that has assigned to exactly of its elements?
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.
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