Mathematics, 25.04.2020 02:59 edog7755
A new employee checks the hats of 5 people at a restaurant, forgetting to put claim check numbers on the hats. When customers return for their hats, the checker gives them back hats chosen at random from the remaining hats. a) How many derangements of the hats are there
Answers: 1
![D_n = n!* [ 1 - 1/1! + 1 / 2! - 1 /3! + ...+ (-1)^n 1/n! ]](/tpl/images/0626/3933/c599b.png)
![D_5 = 5!* [ 1 - 1/1! + 1 / 2! - 1 /3! + 1 /4! - 1/5!]\\\\D_5 = 44 ways](/tpl/images/0626/3933/80216.png)
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A new employee checks the hats of 5 people at a restaurant, forgetting to put claim check numbers on...
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