Binomial Coefficient Calculator

Calculate n choose k instantly with live results.

What is n choose k?

The binomial coefficient counts how many ways you can choose k items from n without regard to order.

  • Written as C(n, k) or "n over k".
  • Symmetry: C(n, k) = C(n, n − k).
  • If k is larger than n, the result is 0.

Tips for using the calculator

Enter whole numbers for n and k to see the coefficient immediately.

  • Use the copy button to reuse the result.
  • Clear resets all fields for a new calculation.