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Circular Permutation Calculator

Enter the number of distinct objects to calculate (n−1)! circular arrangements under the standard rotation-equivalence model.

Circular permutations
(n−1)!
For responsive browser use, n and r are capped at 5,000. Very large exact counts are abbreviated on screen.

Connected statistics workflow

v10.85 connects descriptive statistics, probability models, distributions, confidence intervals, sample-size planning, hypothesis tests, correlation/regression, rank-based methods, and counting tools without replacing the established historical engines.

Interpret statistical results in context

Use plots and descriptive summaries before formal tests. Check the sampling/design assumptions that matter for the chosen method, report effect size and uncertainty where available, and avoid treating a threshold such as p < .05 as proof of importance, causation, or truth. Browser calculations are educational/planning utilities, not domain-specific professional advice.

How to use this Circular Permutation Calculator

Enter the number of distinct objects to calculate (n−1)! circular arrangements under the standard rotation-equivalence model.

What this tool calculates

Calculate rotationally equivalent arrangements of distinct objects around a circle.

Practical limits

Choose the order and repetition model that matches the counting problem. Counts use exact integers within the browser-friendly input limits; very large exact results may be abbreviated on screen.

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