In how many ways can the committee be formed if there must be 22 members chosen from each of the three subgroups?

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 university is putting together a hiring committee of 66 members for the next university provost. The eligible pool of members consists of 1010 administrative personnel, 55 faculty, and 77 students. In how many ways can the committee be formed if there must be 22 members chosen from each of the three subgroups? 

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