Real-life examples of Permutations and Combinations

Permutations deal with the arrangement of items so the Order of things is important.

Example: (1) The combination lock can’t be unlocked until the right sequence of digits or alphabets (Password) is not entered.

(2) With the different arrangements of 10 decimal digits (0 to 9) many phone numbers can be formed.

In Combination, Order of the things is not important. Like the selection of 11 team members out of 20.

The permutation means ‘ordered selection’. It can be defined as the number of ways ‘r’ things can be selected and arranged, from amongst ’n’ different things, at a time.

Here nPr represents the possible number of ways r things can be selected and arranged, from n different things. (n ≥ r)

nPr =n!/(n-r)!

n!=n×(n-1)×(n-2)×(n-3)×………×3×2×1

The Combination deals with the possible number of ways ‘r’ things can be selected out of ’n’ different things. Here the order is not important. It is represented by nCr.

nCr =n!/[r!×(n-r)!]
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