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

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 8CT: A board of directors consisting of eight members is to chosen from a pool of 30 candidates. The...
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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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