olymmath

HMMT 2002 U1

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An (l,a)(l, a)-design of a set is a collection of subsets of that set such that each subset contains exactly ll elements and that no two of the subsets share more than aa elements. How many (2,1)(2,1)-designs are there of a set containing 8 elements?

Dataset text NuminaMath olympiads. Quoted with source.

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2^{28}

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