A group of 10 friends go out for dinner at a fancy dining room andthey each leave their hat with an inattentive coatroom clerk. 5 of the friends were wearing fedorasand the other 5 friends were wearing berets. In how many ways can the coatroom clerk return the 10 hats so that every person receives at least the right kind of hat (they may or may not receive their own individual hat)?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 4T: Over the past year, John has purchased 30 books. In how many ways can he pick four of these books...
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A group of 10 friends go out for dinner at a fancy dining room andthey each leave their hat with an inattentive coatroom clerk. 5 of the friends were wearing fedorasand the other 5 friends were wearing berets.

In how many ways can the coatroom clerk return the 10 hats so that every person receives at least the right kind of hat (they may or may not receive their own individual hat)?

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