(a) Prove that the product of two even permutations is even.
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Please do Exercise 14.6.12abc please show step by step and explain
Transcribed Image Text:Exercise 14.6.12.
492
CHAPTER 14 PERMUTATIONS
(a) Prove that the product of two even permutations is even.
(b) Prove that the product of two odd permutations is even.
(c) What is the parity of the product of an even permutation and an odd
permutation? What about the product of an odd permutation and an
even permutation? Prove your answers.
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