# Circular r-Permutation of n elements

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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  Pc(n,r).

#### The Math

The formula for circular permuations is as follows:

Pc(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.