#### 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:
nCr

=
n!
r! × (n-r)!

Example:

4 choose 2 =

=
^{4}C_{2}
4!
2! × (4-2)!

= 6
To know how to find nCr? Please use our nCr calculator for free.

#### References

More references for*nCr*