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What is the probability that none of the 10 employees receives the correct hat if a hatcheck person hands their hats back randomly?

What is the probability that none of the 10 employees receives the correct hat if a hatcheck person hands their hats back randomly?
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What is the probability that none of the 10 employees receives the correct hat if a hatcheck person hands their hats back randomly?

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User Hadi Sharghi
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7.8k points

1 Answer

2 votes
There are 10! permutations of the 10 hats. Only one of these permutations will correspond with none of the 10 employees receiving the correct hat. Therefore the probability that none receive the correct hat is 1/10! = 1/3628800.
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User Languitar
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