the academic computing committee at a college is in process of evaluating differ
ID: 3121676 • Letter: T
Question
the academic computing committee at a college is in process of evaluating different computers systems. the committee consists of seven administrators, six faculty, and five students. A five 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? the academic computing committee at a college is in process of evaluating different computers systems. the committee consists of seven administrators, six faculty, and five students. A five 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? the academic computing committee at a college is in process of evaluating different computers systems. the committee consists of seven administrators, six faculty, and five students. A five 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?Explanation / Answer
The number of ways in which the chair and vice chair are selected is 7C2 since they must be one of the seven administrators.
The remaining three members can be students or faculty. Totally they are 11 in number. So the number of ways to select them is 11C2.
Therefore the total no of ways of forming the subcommittee is 7C2 * 11C3 = (7*6)/(2*1) * (11*10*9)/(3*2*1)
= 21 * 165 = 3465 ways.
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