what-is-the-probability-that-in-a-group-of-55-people-all-have-different-birthday

Question

What is the probability that, in a group of $5$ people, all have different birthdays? Assume there are $365$ days in a year and that all birthdays are equally likely.

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What is the probability that, in a group of 55 people, all have different birthdays? Assume there are 365365 days in a year and that all birthdays are equally likely.

What is the probability that, in a group of $5$ people, all have different birthdays? Assume there are $365$ days in a year and that all birthdays are equally likely.