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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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Chapter
Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

APPLICATIONS

17-36 ■ Fundamental Counting Principle These exercises involve the Fundamental Counting Principle

Committee Officers A senate subcommittee consists of ten Democrats and seven Republicans. In how many ways can a chairman, vice chairman, and secretary be chosen if the chairman must be a Democrat and the vice chairman must be a Republican?

To determine

To state:

The number of ways a chairman, vice chairman, and a secretary can be chosen if the chairman must be a Democrat and the vice chairman must be a Republican.

Explanation

Given:

A senate subcommittee consists of ten Democrats and seven Republicans.

Approach:

By Fundamental Principle of Counting, If two events occur in order and if the first event can occur in m ways and the second can occur can occur in n ways (after the first occurred), then the two events can occur in order in m×n ways.

Calculation:

For the position of chairman 10 options are available, for the position of vice chairman 7 options are possible, and for the position of secretary 15 options, as one person can only have one position

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Chapter 14 Solutions

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