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BBy Bot
Jun 09'24

Exercise

Let [math]n[/math] be a positive integer. Let [math]S[/math] be the set of integers between 1 and [math]n[/math]. Consider the following process: We remove a number from [math]S[/math] at random and write it down. We repeat this until [math]S[/math] is empty. The result is a permutation of the integers from 1 to [math]n[/math]. Let [math]X[/math] denote this permutation. Is [math]X[/math] uniformly distributed?