A student council consists of 15 students. (a) In how many ways can a committee of seven be selected from the membership of the council?   (b) Two council members always insist on serving on committees together. If they can't serve together, they won't serve at all. How many ways can a committee of seven be selected from the council membership?   (c) Suppose the council contains eight men and seven women. How many committees of six contain three men and three women?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....
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A student council consists of 15 students.
(a)
In how many ways can a committee of seven be selected from the membership of the council?
 
(b)
Two council members always insist on serving on committees together. If they can't serve together, they won't serve at all. How many ways can a committee of seven be selected from the council membership?
 
(c)
Suppose the council contains eight men and seven women. How many committees of six contain three men and three women?
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