# How do you find the binomial coefficient of ((10), (4))?

((10),(4))=(10!)/((4!)(6!))=210

#### Explanation:

$\left(\begin{matrix}10 \\ 4\end{matrix}\right)$ is an alternate form of writing out a combination term. Another way of writing it is:

${C}_{10 , 4}$

And the general formula for calculating it is:

C_(n,k)=(n!)/((k!)(n-k)!) with $n = \text{population", k="picks}$

So let's calculate it:

((10),(4))=C_(10,4)=(10!)/((4!)(6!))=(10xx9xx8xx7xx6!)/(6!xx4xx3xx2)=210