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

Question

7739 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-15T01:38:47

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

$((10),(4))$ 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:

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

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