   Chapter 8.3, Problem 49ES Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

Solutions

Chapter
Section Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

We can form a new permutation group by considering all permutations of the numbers 1 2 3 4. Refer to this group. Find the inverse of ( 1 2 3 4 4 3 2 1 ) .

To determine

Refer to the group of permutations of the numbers 1 2 3 and find the inverse of (12344321)

Explanation

Given: (12344321)

Calculation:

Now, we need to find the inverse of below

(12344321)

Here,

1 replaces with 4 , 2 replaces with 3 , 3 replaces with 2 and 4 replaces with 1

Thus, in inverse, we have

4 replaces with 1 , 3 replaces with 2

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