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?
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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
Transcribed Image Text: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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