QUESTION 30 The academic computing committee at a college is in the process of e

Question

QUESTION 30

The academic computing committee at a college is in the process of evaluating different computer systems. The committee consists of four administrators, six faculty, and four students. A six-person subcommittee is to be formed. The subcommittee must have a chair and vice chair from the administrators, the other four committee members have no particularly defined roles from the faculty and students. In how many ways can this subcommittee be formed? The subcommittee can be formed in ways

Explanation / Answer

No of ways of choosing a chair and vice chair from administrators = C(4,2) = 4*3/2*1 = 6 ways

No of ways of selecting other four persons from 10 faculty and students = C(10,4) = 10*9*8*7/4*3*2*1= 210 ways

So, total no of ways to form a 6 member sub committee = 6*210 = 1260 ways

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