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Combinations with Repetition Calculator

Enter n object types and selection size r to calculate C(n+r−1,r) exactly.

Combinations with repetition
C(n+r−1,r)
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 Combinations with Repetition Calculator

Enter n object types and selection size r to calculate C(n+r−1,r) exactly.

What this tool calculates

Calculate unordered selections when repetition is allowed.

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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