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)?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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