What is an even permutation?

A permutation that can be written as a product of an even number of transpositions (swaps). Sign = +1.

How many even permutations are there?

For n ≥ 2, exactly half of n! permutations are even: n!/2. For n = 1, there is 1 (the identity).

Yes. All tools on QuickFreeTools are free with no signup.

Count how many permutations of n objects are even (expressible as an even number of swaps). For n ≥ 2, equals n!/2.

n (number of objects)

What is an even permutation?: A permutation that can be written as a product of an even number of transpositions (swaps). Sign = +1.
How many even permutations are there?: For n ≥ 2, exactly half of n! permutations are even: n!/2. For n = 1, there is 1 (the identity).
Is this tool free?: Yes. All tools on QuickFreeTools are free with no signup.

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