Solution Found!
Determine whether the following permutations are even or
Chapter 5, Problem 11E(choose chapter or problem)
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.