MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

A legislative committee consists of 5 Democrats and 7 Republicans. A delegation of 3 is to be selected to visit a small island republic. Complete parts​ (a) through​ (d) below.

(a) How many different delegations are​ possible?
 
The 3 delegates can be selected __ different ways.
 
​(b) How many delegations would have all​ Democrats?
 
The 3 delegates can be selected __ different ways if all 3 are Democrats.
 
​(c) How many delegations would have 2 Democrats and 1​ Republican?
 
The 3 delegates can be selected __ different ways if 2 are Democrats and 1 is a Republican.
 
​(d) How many delegations would include at least 1​ Republican?
 
The 3 delegates can be selected __ different ways if at least 1 is a Republican.
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