Multinomial Coefficient

Calculate Multinomial Coefficient instantly with the exact formula and a worked example. Free online calculator — no signup, works on mobile.

Multinomial Coefficient

n
k1
k2
k3
n! / (k1!·k2!·k3!)
4,200
Calculate Multinomial Coefficient instantly with the exact formula and a worked example. Free online calculator — no signup, works on mobile.

More about: Multinomial Coefficient

What it calculates

The “Multinomial Coefficient” calculator computes n! / (k1!·k2!·k3!) from 4 parameters: n, k1, k2, k3.

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

Example calculation

With parameters n = 10, k1 = 3, k2 = 3, k3 = 4 the result is 4,200.

How to use

  1. Enter the parameter values — every field above is adjustable with a slider.
  2. The result and related metrics are calculated automatically as you type.
  3. Use the additional metrics shown (if any) where needed.
  4. Copy the result or bookmark the page.

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