How to Calculate Odd and Even Permutation - Tutorial

The below given is the tutorial which guides you to find the answer for your question 'How to calculate odd and even permutation?'. This tutorial page provides you the definition, formula and example problem for you to get an idea of calculating permutations.

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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