What are circular permutations?

Arrangements around a circle where rotations are considered the same. One position is fixed to break symmetry.

Fix one object; the rest can be arranged in (n-1)! ways in order around the circle.

Yes. All tools on QuickFreeTools are free with no signup.

Online Circular Permutations Calculator

Calculate the number of ways to arrange n distinct objects in a circle. Formula: (n-1)!.

n (number of distinct objects)

What are circular permutations?: Arrangements around a circle where rotations are considered the same. One position is fixed to break symmetry.
Why (n-1)!?: Fix one object; the rest can be arranged in (n-1)! ways in order around the circle.
Is this tool free?: Yes. All tools on QuickFreeTools are free with no signup.

Celsius to Fahrenheit Converter

Convert Celsius to Fahrenheit and Fahrenheit to Celsius instantly. Free temperature converter.

Tip Calculator

Calculate tip and split the bill. Enter bill amount, tip percentage, and number of people.

Roman Numeral Converter

Convert numbers to Roman numerals and Roman numerals to numbers. Supports 1–3999.

Combinations Calculator

Calculate C(n,r) — the number of ways to choose r items from n without order. Uses n!/(r!(n-r)!).

Combinations with Replacement Calculator

Calculate the number of ways to choose r items from n with repetition allowed. Formula: C(n+r-1, r).

Even Permutations Calculator

Count how many permutations of n objects are even (expressible as an even number of swaps). For n ≥ 2, equals n!/2.