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Stars and Bars Calculator

Count ways to distribute items into bins.

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How it works

Fill in the 2 fields above and Stars and Bars Calculator calculates the result instantly, recalculating as you change any value. It applies the formula C(n + k − 1, k − 1). The math runs locally in your browser — nothing is sent to a server.

Formula

C(n + k − 1, k − 1)

Examples

  • Identical items 10, Bins 4 → Distributions: 286

Frequently asked questions

How do I use the Stars and Bars Calculator?

Enter your values in the 2 input fields and the result is calculated automatically as you type. Change any value to see the numbers update instantly.

What formula does the Stars and Bars Calculator use?

It uses C(n + k − 1, k − 1). The calculation is performed in your browser using standard, well-established math for accurate results.

Is my data private?

Yes. The Stars and Bars Calculator runs entirely in your browser. Nothing you enter is uploaded, saved to a server, or shared — it never leaves your device.

Is the Stars and Bars Calculator free?

Yes, it is completely free with no sign-up, no limits and no watermarks. Like every tool on math and the rest of the platform, you can use it as often as you like.

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