How to Calculate Odd and Even Permutation - Tutorial

How to Calculate Odd and Even Permutation - Definition, Formula, Example

Definition:

Odd permutation is a permutation which is created by the consecutive substitution of an odd number of interchanges of pairs of elements. A permutation is said to be an even permutation if it is created by the consecutive substitution of an even number of interchanges of pairs of elements.

Formula:

Odd Permutation = n! / 2 ∀ n>=2 Even Permutation = n! / 2 ∀ n>2
Example :

Calculate the even and odd permutation where n=4

Given,

n = 4

Solution:

Substitute the given n value in the formula, = n! / 2 = 4! / 2 = (1X2X3X4) / 2 Odd / Even Permutation = 12

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