This worksheet help you to understand how to calculate Permutation ^{n}P_{r} and Combination ^{n}C_{r} for n different items or symbols.

__ Permutations:__>Permutations where the repetitions are not allowed and the order is important; the number of permutation of n distinct things taken r at a time is written as

To find permutations for n = 5, r = 3

= 5! /(5-3)!

= 120/2!

= 60

The Combination is a way of selecting several items or symbols out of a larger group, where order does not matter. The Combination represented by

To find combination for n = 5, r = 3

= 5! /( 3! (5-3)!)

= 120/(6*2)

=40

Where the repetition is not allow and combination is used for selecting several symbols for larger group and the order is not a matter but in permutation the order is important.

When you try such calculations on your own, this permutation & combination calculator can be used to verify your results of calculations.

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