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 SETS USAMO PROBELMS

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gareth3ying
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PostSubject: SETS USAMO PROBELMS   SETS USAMO PROBELMS Icon_minitimeMon Jan 07, 2008 10:17 pm

Let S be a set containing n^2+n-1 elements, for some positive integer n. Suppose that the n-element subsets of S are partitioned into two classes. Prove that there are at least n pairwise disjoint sets in the same class.

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