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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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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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