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Suppose that n letters are placed at random in n envelop

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Suppose that n letters are placed at random in n envelopes, and let qn denote the probability that no letter is placed i

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Suppose that n letters are placed at random in n envelopes, and let qn denote the probability that no letter is placed in the correct envelope. For which of the following four values of n is qn largest: n = 10, n = 21, n = 53, or n = 300?

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