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# Circular r-Permutation of n elements

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Equation / Last modified by KurtHeckman on 2017/02/02 21:31
`P_c(n,r) = `

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GerryPerham.Circular r-Permutation of n elements

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The **Circular Permutations** calculator computes the number of circular permutations possible in a set of **r** elements from a finite set of **n** objects where different orders create different permutations (i.e. where order is important).

**INSTRUCTIONS:** Enter the following:

- (
**n**) The total number of objects in the circle. - (
**r**) The size of the subset

**Circular Permutations:** The calculator computes and return the number of circular permutations ** P _{c}(n,r).**

#### The Math

The formula for circular permuations is as follows:

P_{c}(n,r) = ` (n!)/(r(n-r)!)`

This equation computes the number of circular ordered arrangements of r distinct elements for a set of n elements. For example, the number of ways to arrange 5 children in a circle choosing from a group of n children.

This equation,

**Circular r-Permutation of n elements**, references 1 equation/constant.**Equations and Constants **

This equation,

**Circular r-Permutation of n elements**, is used in 2 calculators.**Calculators**