Combination Calculator — 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.
### 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?
- C(10, 3) = 10! / (3! * 7!)
- = (10 * 9 * 8) / (3 * 2 * 1)
- = 720 / 6 = 120
- Compare with permutations: P(10,3) = 720