Concept explainers
To find: Whether each arrangement of objects is a linear or circular permutation, and find the number of arrangements for each situation.
Answer to Problem 30E
The arrangement is circular, and the number of arrangements for given situation are
Explanation of Solution
Given:
The given situation is “20 wooden dowels used as spokes for a wagon wheel.”
Calculation:
The wooden dowels used as spokes for a wagon wheel in a circle without a point of reference.
Therefore, the problem is circular permutation.
The formula for circular permutation is
Find the number of arrangements for given situation.
Therefore, the arrangement is circular, and the number of arrangements for given situation are
Chapter 13 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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