Question

In how many ways can 3 singers be selected from 5 who came to an audition?

Answer 1

`((5),(3))=10`

Explanation:

This is a combination problem - we don't care about the order in which the singers are selected:

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

`((5),(3))=10`