SOLUTION: Each person attending a party brings a prize. If there are n people and therefore n prizes, where anyone can get any number of prizes, how many ways can the prizes be distributed s

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Question 1067974: Each person attending a party brings a prize. If there are n people and therefore n prizes, where anyone can get any number of prizes, how many ways can the prizes be distributed so that no one leaves with the prizes he/she brought?
(a) Solve this problem using inclusion/exclusion
(b) There is a much easier solution. What is it?
(c) Use binomial theorem to explain why both answers are the same.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
See this Wikipedia article

https://en.wikipedia.org/wiki/Derangement

https://en.wikipedia.org/wiki/Derangement