Concept explainers
(a)
To find: The number of different starting line-up based on manufacturer are possible.
(a)
Answer to Problem 37E
The number of different line-up are
Explanation of Solution
Given:
There are
Calculation:
This is the permutation with repetition of
The possible numbers of arrangements are as follows.
Therefore, the number of different line-up are
(b)
To rearrange: The number of ways to arrange the cars on the track.
(b)
Answer to Problem 37E
The numbers of possible arrangements are
Explanation of Solution
Given:
There are
Calculation:
The track has oval shape, so the problem describes a circular permutation.
The numbers of possible arrangements are as follows.
Therefore, the numbers of possible arrangements are
(c)
To rearrange: The number of ways to arrange the cars on the track relative to the leader of the track.
(c)
Answer to Problem 37E
The numbers of possible arrangements are
Explanation of Solution
Given:
There are
Calculation:
In this case, the permutation becomes linear.
The numbers of possible arrangements are as follows.
Therefore, the numbers of possible arrangements are
Chapter 13 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus
Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (3rd Edition)
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