Multinomial Coefficient
Calculate Multinomial Coefficient instantly with the exact formula and a worked example.
Multinomial Coefficient
n
k1
k2
k3
n! / (k1!·k2!·k3!)
4,200
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
- Enter n, k1, k2 and k3 — each field above is adjustable with a slider.
- n! / (k1!·k2!·k3!) is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- Copy the result or bookmark this calculator.
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FAQ
How is Multinomial Coefficient calculated?
The Multinomial Coefficient calculator computes n! / (k1!·k2!·k3!) from n, k1, k2, k3. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Multinomial Coefficient 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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