6. Committee Formation A department on campus is forming a committee of 7 people to be chosen from 21 faculty members, 6 staff members, and 5 graduate student council members. a. How many possible committees can be formed? b. How many committees can be formed with exactly 3 faculty members, 2 staff members, and 2 graduate student council members? c. Assuming all possible committee compositions (groups of 7) are equally likely, what is the probability the committee is formed with at least 2 faculty members?

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