Difference between revisions of "2015 AIME I Problems/Problem 12"

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Revision as of 15:17, 20 March 2015

Problem

Consider all 1000-element subsets of the set {1, 2, 3, ... , 2015}. From each such subset choose the least element. The arithmetic mean of all of these least elements is $\frac{p}{q}$, where $p$ and $q$ are relatively prime positive integers. Find $p + q$.