Concept explainers
a.
To calculate: The number of different ways to arrange three couples for a musical show.
a.
Answer to Problem 50E
The number of different ways to arrange three couples for a musical showare
Explanation of Solution
Given information:
There are 3 couples that have reserved seats for a musical show.
Formula used:
If there are n objects taken n at a time then permutation is defined as
Calculation:
Consider the provided information that there are 3 couples that have reserved seats for a musical show.
In order to arrange these 3 couples, use permutation as selection matters.
Recall that if there are n objects taken n at a time then permutation is defined as
Here n is 6.
Required number of ways are
Thus, the number of different ways to arrange three couples for a musical show are
b.
To calculate: The number of different ways to arrange three couples for a musical show if two members of each couple are to be sit together.
b.
Answer to Problem 50E
The number of different ways to arrange three couples for a musical show if two members of each couple are to be sit togetherare
Explanation of Solution
Given information:
There are 3 couples that have reserved seats for a musical show.
Formula used:
If there are n objects taken n at a time then permutation is defined as
Calculation:
Consider the provided information that there are 3 couples that have reserved seats for a musical show.
In order to arrange these 3 couplesif two members of each couple are to be sit together.
Now, three couples can be arranged in
And two members of each couple can be arranged in
Total number of ways are,
Thus, the number of different ways to arrange three couples for a musical show if two members of each couple are to be sit together are
Chapter 13 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus and Its Applications (11th Edition)
Precalculus (10th Edition)
Calculus: Early Transcendentals (3rd Edition)
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