Combinations with Repetition

Calculate Combinations with Repetition instantly with the exact formula and a worked example.

Combinations with Repetition

n
r
C(n+r-1, r)
35
Calculate Combinations with Repetition instantly with the exact formula and a worked example.

More about: Combinations with Repetition

What it calculates

The “Combinations with Repetition” calculator computes C(n+r-1, r) from 2 parameters: n, r.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters n = 5, r = 3 the result is 35.

How to use

  1. Enter n and r — each field above is adjustable with a slider.
  2. C(n+r-1, r) is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Combinations with Repetition calculated?
The Combinations with Repetition calculator computes C(n+r-1, r) from n, r. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Combinations with Repetition calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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