Combinations & permutations

Client

Calculate nCr (combinations) and nPr (permutations)—see also factorial.

About Combinations & permutations

Calculate nCr and nPr for counting problems—BigInt combinatorics in your browser. The interactive transform on this page runs in your browser tab—Toolcore does not need your paste for the core operation described above.

How to use this page

Paste or type in the main workspace, run the primary action from the toolbar, then copy or download the result. Use Load example when the page offers it, or URL prefill (?q= / ?qb=) so agents and tickets open the same input.

nCr
10
nPr
20

Nearby workflows on Toolcore

  • Factorial calculator — Compute n! for whole numbers up to 500—BigInt factorial in your browser, no upload. when units or numeric output should be checked on a related calculator.
  • Math expression evaluator — Evaluate basic + − × ÷ arithmetic with parentheses in your browser—no variables. when units or numeric output should be checked on a related calculator.
  • Prime number checker — Test whether a whole number is prime—BigInt trial division in your browser, no upload. when units or numeric output should be checked on a related calculator.
  • Random integer generator — Uniform integers in a min–max range—optional unique draws, sort, Web Crypto; local only. when units or numeric output should be checked on a related calculator.

Common use cases

  • Count ways to choose r items from n without order (nCr).
  • Count ordered arrangements of r from n (nPr).

Common mistakes to avoid

  • Swapping nCr and nPr

    Combinations ignore order; permutations count ordered picks.

FAQ

What is the maximum n?

n and r are capped at 170 to keep results manageable in the browser.

Is data uploaded?

No. All math runs locally.

More tools

Related utilities you can open in another tab—mostly client-side.