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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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