Combinations Calculator helps calculating the number of possible combinations that can be obtained by taking a sample of items from a larger set. Basically, it shows how many different possible subsets can be made from the larger set. For this calculator, the order of the items chosen in the subset does not matter.

For example, the calculator helps calculating the number of possibilities of choosing 6 balls out of 40 (3,838,380 Combinations).

The number of combinations can ba calculated using the following formula:

where:

n = the population size

k = the sample size