A legislative committee consists of 7 democrats and 8 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

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
Section14.1: Counting
Problem 84E
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A legislative committee consists of 7 democrats and 8 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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