Statistics

Combination

What is the Combination?

Unordered selections of r from n

This formula is widely used in statistics applications. Understanding when and how to apply it helps you interpret calculator results correctly and catch input errors before they propagate.

Formula

nCr = n! / (r!(n-r)!)

Substitute known values into the formula above. Ensure all variables use consistent units before calculating.

Worked Example

10C2 = 45

Use the linked calculator below to try your own values and see step-by-step working.

When to Use This Formula

Apply the Combination when you need to unordered selections of r from n. It is a standard reference in statistics coursework, professional practice, and our linked calculators.

Tips & Common Mistakes

  • Confirm whether you need sample or population formulas.
  • Report spread measures alongside averages.
  • Always verify critical results independently for engineering, medical, or legal applications.

Further Reading

Browse the Formula Library for related formulas, or read educational articles on our Blog.