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Twenty people check their hats at a theater in how many

Question: Twenty people check their hats at a theater. In how many ways can their hats be returned so that

(a) no one receives his or her own hat?

(b) at least one person receives his or her own hat?

(d) at least two people receive their own hats?

(e) at most two people receive their own hats?

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Mathematics: Twenty people check their hats at a theater in how many

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