Combination

nCr with n and r.

C(n,r) = n! / (r!(n−r)!) for unordered selections. Enter n and r to count teams, lottery subsets, or sample sizes without a factorial table.

What Combination does

C(n,r) = n! / (r!(n−r)!) for unordered selections. Enter n and r to count teams, lottery subsets, or sample sizes without a factorial table.

The interactive controls for Combination load after this article so crawlers still read the instructions. Path /combine is the canonical address. Work happens on this device; Tool-You does not take a copy of the file or pasted text for Combination.

How to use Combination

  1. Confirm you need Combination, not Permutation (nPr with n and r.). Address: /combine.
  2. Enter the numbers or dates Combination uses. nCr with n and r.
  3. Read the result as Combination defines it — not as Factorial (n! for 0–200 with digits and trailing zeros.). C(n,r) = n! / (r!(n−r)!) for unordered selections. Enter n and r to count teams, lottery subsets, or sample sizes without a factorial table.
  4. Combination is an estimate in the browser, not professional advice. 0≤r≤n≤30.
  5. Need a different formula? Try Factorial (n! for 0–200 with digits and trailing zeros.) instead of stretching Combination.

When not to use Combination

Skip Combination when a neighbor tool matches better — start with Permutation or Factorial — or when the description already warns the job will fail. In the tool’s own words: C(n,r) = n! / (r!(n−r)!) for unordered selections. Enter n and r to count teams, lottery subsets, or sample sizes without a factorial table.

Questions about Combination

What does Combination do that other Calculate pages on this site do not?
C(n,r) = n! / (r!(n−r)!) for unordered selections. Enter n and r to count teams, lottery subsets, or sample sizes without a factorial table. Short version: nCr with n and r.
Does Combination upload my file or text to Tool-You servers?
No. Combination runs in this browser tab. Files stay on the device. Limit note: 0≤r≤n≤30.
Should I use Permutation instead of Combination?
Use Combination when you need nCr with n and r. Use Permutation when you need nPr with n and r. They share a category (Calculate) but not the same job.
What are the limits of Combination?
0≤r≤n≤30. Also: C(n,r) = n! / (r!(n−r)!) for unordered selections. Enter n and r to count teams, lottery subsets, or sample sizes without a factorial table.