Q: A permutation may not be expressed as product of
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A permutation is even if it can be written as a product of an even number of transpositions; a permutation is odd if it can be written as a product of an odd number of transpositions. Lemma. A permutation cannot be written as a product of both an odd and an even number of transpositions.
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A permutation may not be expressed as product of odd and even number
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