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Determine whether the following permutations are even or

Chapter 5, Problem 11E

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QUESTION: Problem 11E

Determine whether the following permutations are even or odd.

a. (135)

b. (1356)

c. (13567)

d. (12)(134)(152)

e. (1243)(3521)

Questions & Answers

QUESTION: Problem 11E

Determine whether the following permutations are even or odd.

a. (135)

b. (1356)

c. (13567)

d. (12)(134)(152)

e. (1243)(3521)

ANSWER:

Step 1 of 5

We see that

Since the permutation is expressed as a product of even numbers (that is 2) of 2-cycles.

Hence  is an even permutation.

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