# Permutation and Combination Calculator

Permutation is the arrangement of the objects, where the order of the objects is considered important. It is a process of rearrangement of objects into distinguishable sequences and it is an ordered combination. Combination is the selection of all or particular objects without considering the order. It is an unordered collection of unique sizes. Use this permutation and combination calculator to find the nP_{r} and nC_{r} values by providing the number of sample points in set 'n' and 'r'.

## Permutation and Combination Calculation

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#### Formula:

**Permutation**
_{n}P_{r} = n! / ( n - r )!

**Combination**
_{n}C_{r} = _{n}P_{r} / r!

#### Example

**The number of sample points in set 'n' is 5 and in 'r' is 3. What is the permutation and combination?**

_{n}P_{r} = 5! / ( 5 - 3 )!

= (5 x 4 x 3 x 2 x 1) / 2 !

= (5 x 4 x 3 x 2 x 1) / 1 x 2

= 5x4x3

= 60

_{n}C_{r} = 60 / 3!

= 60 / (1 x 2 x 3)

= 60 / 6

= 10