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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A student council consists of 8 students, with 3 women and 5 men.

a. In how many ways can a committee of 4 be selected from the membership of the council?
b. In how many ways can a committee of 4 be selected consisting of 2 women and 2 men?
c. In how many ways can a committee of 4 be selected consisting of at least one woman?
d. 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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