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AIME 2023b Problem 11

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Find the number of collections of 1616 distinct subsets of {1,2,3,4,5}\{1,2,3,4,5\} with the property that for any two subsets XX and YY in the collection, X∩Y≠∅.X \cap Y \not= \emptyset.

Dataset text AIME 1983 to 2026. Quoted with source.

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