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Problem 13 (2015 AMC 8)

AMC 8Easy

From module Mean, Median, Mode, and Harmonic Mean

Problem

How many subsets of 22 elements can be removed from the set {1,2,3,4,5,6,7,8,9,10,11}\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11\} so that the mean (average) of the remaining numbers is 66?

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