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What is the order of each of the following permutationsa.

Chapter 5, Problem 5E

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QUESTION:

What is the order of each of the following permutations?

a. (124)(357)

b. (124)(3567)

c. (124)(35)

d. (124)(357869)

e. (1235)(24567)

f. (345)(245)

Questions & Answers

QUESTION:

What is the order of each of the following permutations?

a. (124)(357)

b. (124)(3567)

c. (124)(35)

d. (124)(357869)

e. (1235)(24567)

f. (345)(245)

ANSWER:

Step 1 of 6

We know that the order of a permutation of a finite set written in disjoint cycle is the least common multiple of the length of the cycles.

Given permutation is

The order of the given permutation is

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