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?

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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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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