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Suppose that you randomly permute the digits 1,2...n; that is, you select a permutation uniformly at random. What is the probability the digit k ends

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Suppose that you randomly permute the digits 1,2...n; that is, you select a permutation uniformly at random. What is the probability the digit k ends up in the ith position after the permutation? Define the probability space, describe the event above, and calculate its probability

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