Permutations with Repetition Calculator

Enter the number of available symbols n and sequence length r to calculate n^r exactly.

Distinct object types n

Selection / sequence size r

—Permutations with repetition

n^r

For responsive browser use, n and r are capped at 5,000. Very large exact counts are abbreviated on screen.

Core describe → test → interpret workflows

Use descriptive context first, choose the method that matches the design, then keep inputs, settings and result evidence reproducible instead of copying a p-value without its analysis recipe.

Start: Statistics Calculator Choose a statistical test

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Ordered sequences with replacement

Count length-r sequences when every position can choose any of n symbols: n^r. Show exact BigInt growth and the multiplier added by each extra position.

Choices per position nPositions r

—Sequences n^r

—Digits

—Positions

—Per-position multiplier

Ready.

Positions	Sequence count	New multiplier	Ordered?

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 Permutations with Repetition Calculator

Enter the number of available symbols n and sequence length r to calculate n^r exactly.