A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to work on a project?   (b) Suppose nine team members are women and eight are men. (i) How many groups of nine can be chosen that contain five women and four men?   (ii) How many groups of nine can be chosen that contain at least one man?   (iii) How many groups of nine can be chosen that contain at most three women?   (c) Suppose two team members refuse to work together on projects. How many groups of nine can be chosen to work on a project?

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 computer programming team has 17 members.
(a)
How many ways can a group of nine be chosen to work on a project?
 
(b)
Suppose nine team members are women and eight are men.
(i)
How many groups of nine can be chosen that contain five women and four men?
 
(ii)
How many groups of nine can be chosen that contain at least one man?
 
(iii)
How many groups of nine can be chosen that contain at most three women?
 
(c)
Suppose two team members refuse to work together on projects. How many groups of nine can be chosen to work on a project?
 
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