Combination Calculator (nCr)

Count how many ways to choose r items from n (order doesn't matter).

Combinations 13,983,816

Formula: nCr = n! ÷ (r! × (n − r)!)

Step-by-step with your numbers:

1. Values used:

2. Total items (n) = 49

3. Chosen (r) = 6

5. Combinations = 13,983,816

Did we solve your problem today?

Combinations count the number of ways to select a group when the order of selection doesn't matter.

The math behind it

nCr = n! ÷ (r! × (n − r)!). It's computed iteratively here to avoid overflow on large factorials.

Lottery: choose 6 from 49 → 49C6 = 13,983,816 combinations.

Combination vs permutation?

Combinations ignore order; permutations count ordered arrangements (so there are always more permutations).