Question

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

Answer 1

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

Explanation:

`((10),(4))` 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="population", k="picks"`

So let's calculate it:

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