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Assume that people have random first, middle, and last names, so that their initials such as...

Assume that people have random first, middle, and last names, so that their initials such as J.P.C. can be regarded as random strings of length 3. Approximately how large must a group of random people be before the probability that at least 2 of them share the same initials? Do you think that the actual number (taking into account the non-random nature of real people’s names) is higher or lower than this?

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