# Permutation and Combination Calculator

An ordered arrangement of sample data or sample points is called as a permutation. The combination is the unordered collection of a unique set of data. Here is an online permutation and combination calculator to calculate the permutation and combination for the given number of sample points.

An ordered arrangement of sample data or sample points is called as a permutation. The combination is the unordered collection of a unique set of data. Here is an online permutation and combination calculator to calculate the permutation and combination for the given number of sample points.

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#### Formula:

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

**Combination**
_{n}C_{r} = _{n}P_{r} / r!
Use our free online statistical distribution calculator to find out the Permutation and Combination for the given data. 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'.

#### 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