Suppose a company will select 3 people from a collection of 12 applicants to serve as a regional manager, an assistant regional manager, and an assistant to the regional manager. In how many ways can the selection be made?
Ok, so I'll start by doing my best to show where I am stuck by giving my best attempt at reasoning my way through this one:
At least one of the twelve applicants is a regional manager candidate. At least one of the twelve applicants is an assistant regional manager candidate. At least one of the twelve applicants is an applying for the assistant to the regional manager position.
So then what it is this question asking of me when it asks how many ways that a selection can be made? Any hints?