Combinations Calculator (nCr)

Calculate the number of possible combinations when selecting items from a larger set

Number of Combinations (nCr)

120

Number of Permutations (nPr)

60

Understanding Combinations

What are Combinations?

Combinations represent the number of ways to select items from a larger set where the order doesn't matter. For example, selecting 3 fruits from a basket of 5 fruits, where the sequence of selection is irrelevant.

Formula

The formula for calculating combinations is:

C(n,r) = n! / (r! × (n-r)!)

Where n is the total number of items and r is the number of items being selected.