Question

How do you evaluate `""_8C_3`?

Answer 1

56

Explanation:

The general formula for a combination is:

`C_(n,k)=(n!)/((k!)(n-k)!)` with `n="population", k="picks"`

and so we have

`C_(8,3)=(8!)/((3!)(8-3)!)=(8!)/((3!)(5!))=(8xx7xxcancel(6xx5!))/cancel((6)(5!))=56`