A group of 10 friends go out for dinner at a fancy dining room and they each leave their hat with an inattentive coatroom clerk. 5 of the friends were wearing fedoras and 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
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...
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A group of 10 friends go out for dinner at a fancy dining room and they each leave their hat with an inattentive
coatroom clerk. 5 of the friends were wearing fedoras and 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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