MathDB
2020 BMT Individual 17

Source:

January 9, 2022
combinatorics

Problem Statement

Shrek throws 55 balls into 55 empty bins, where each ball’s target is chosen uniformly at random. After Shrek throws the balls, the probability that there is exactly one empty bin can be written in the form m/nm/n , where mm and nn are relatively prime positive integers. Compute m+nm + n.
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