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Question: peter decided to randomly assign uniform numbers to each of...

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Peter decided to randomly assign uniform numbers to each of the 25 dancers. However, after assigning the numbers, Peter realized he forgot to generate numbers without replacement. What is the probability that Peter has generated at least one set of duplicate numbers? Assume that permissible uniform numbers range from 0 to 99, and each number in that range was equally likely to have been chosen.

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