What this calculator does
Count arrangements of distinct objects around a circle when rotations are considered identical.
How it works
The calculator evaluates rotational arrangements = (n − 1)!; with equivalent reflections divide by 2 for n > 2. Inputs are checked before calculation, and invalid values such as zero denominators or out-of-range selections produce a clear error instead of a misleading result.
Input query strings and outputs
Use an input name in this page’s URL as ?name=value, and join additional inputs with &. Portable shared links may instead use the compact ?ac= state parameter.
Input query strings
2-
?n=Number of distinct objects nNumber · Required · Default: 8
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?reflectionsSame=Treat mirror images as identicalTrue or false · Optional · Default: false
Outputs
2-
permutationsCircular permutationsText · Primary output
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formulaUsedFormula usedText
Inputs and results
The inputs are Number of distinct objects n, Treat mirror images as identical. Results include Circular permutations, Formula used.