Mathlean · Online math workspace

Multinomial coefficient calculator

Count allocations into labeled groups of specified sizes.

How to use this calculator

Edit the group sizes 2, 3 and 1; the multinomial coefficient is 60.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

Multinomial⁡(2,3,1)\operatorname{Multinomial}\left(2,3,1\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Group sizes must be nonnegative integers. Their sum determines the total number of objects.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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