Combination Calculator

Calculate the number of combinations (unordered selections) when choosing r items from n items.

C(n, r)

120

P(n, r) for comparison720

C(n, r) vs Total Items (n)

सूत्र देखें →

सूत्र

## How to Calculate Combinations ### Formula **C(n, r) = n! / (r! * (n - r)!)** A combination counts the number of ways to choose r items from n distinct items where order does not matter. For example, choosing 3 team members from 10 candidates is a combination problem because the group {A, B, C} is the same regardless of selection order.

हल किया गया उदाहरण

How many ways can you choose a committee of 3 from 10 people?

  1. 01C(10, 3) = 10! / (3! * 7!)
  2. 02= (10 * 9 * 8) / (3 * 2 * 1)
  3. 03= 720 / 6 = 120
  4. 04Compare with permutations: P(10,3) = 720