Home / Math Calculators / nCr Calculator

nCr Calculator or Combination Calculator

Example: 3C2 = 3! / 2!(3-2)! = 3
n(objects):     r(sample):

What is Combination(nCr) ?

The Combination Calculator(nCr) tool enables you to calculate the factorial of a chosen number.

In maths, nCr is used to find out the number of ways to choose r objects (subset) from n number of objects (larger set). For example, if i have 3 cards J,Q,K. I want to choose 2 out of them. How will i choose? I can either choose J,Q or Q,K or J,K. so it means that I have 3 ways to choose.

In that case, n = 3(larger set) and r = 2(subset). The combinations is: 3C2, which is 3.

The nCr Formula or Combination Formula

You can use the nCr formula to find the nCr value:

n! / r! × (n-r)!


4 choose 2 = 4C2
4! / 2! × (4-2)!
= 6

To know how to find nCr? Please use our nCr calculator for free.


More references for nCr