student council consists of 8 students, with 5 women and 3 men. e. In how many ways can a committee of 4 be selected from the membership of the council? f. In how many ways can a committee of 4 be selected consisting of 2 women and 2 men? g. In how many ways can a committee of 4 be selected consisting of at least one woman? h. In how many ways can a President, Vice President and Treasurer be picked? Assume all students are eligible for any of the positions.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 36RE: In a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president,...
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A student council consists of 8 students, with 5 women and 3 men.

e. In how many ways can a committee of 4 be selected from the membership of the council?

f. In how many ways can a committee of 4 be selected consisting of 2 women and 2 men?

g. In how many ways can a committee of 4 be selected consisting of at least one woman?

h. In how many ways can a President, Vice President and Treasurer be picked? Assume all students are
eligible for any of the positions.

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