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?
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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Transcribed Image Text: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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