The academic computing committee at a college is in the process of evaluating different computer systems.   The committee consists of 4 administrators, 8 faculty, and 5 students.  A 7 person subcommittee is to be formed.  The chair and vice chair of the committee must be administrators, the remainder of the committee will consist of faculty and students.  In how many ways can this subcommittee be formed?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
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The academic computing committee at a college is in the process of evaluating different computer systems.   The committee consists of 4 administrators, 8 faculty, and 5 students.  A 7 person subcommittee is to be formed.  The chair and vice chair of the committee must be administrators, the remainder of the committee will consist of faculty and students.  In how many ways can this subcommittee be formed?

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