Show the probability of no repeat words

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Question: A no repeat word is a sequence of at least one (and possibly all) of the usual 26 letters a,b,c,. . . ,z, with repetitions not allowed. For example, "course" is a no repeat word, but "statistics" is not. Order matters, e.g., "course" is not the same as "source". A no repeat word is chosen randomly, with all no repeat words equally likely. Show that the probability that it uses all 26 letters is very close to 1/e.

Reference no: EM131680242

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