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AIME 2011a Problem 12

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Six men and some number of women stand in a line in random order. Let pp be the probability that a group of at least four men stand together in the line, given that every man stands next to at least one other man. Find the least number of women in the line such that pp does not exceed 1 percent.

Dataset text AIME 1983 to 2026. Quoted with source.

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