Question

There are 11 qualified applicants for 7 trainee positions in a fast-food management program. How many different groups of trainees can be selected?

Answer 1

330

Explanation:

We don't care in what order the trainees are selected, so that is a combination problem. The general formula for a combination is:

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

`C_(11,7)=(11!)/((7!)(4!))=(11xx10xx9xx8)/(24)=330`