So, we know who the 5 oldest managers are. How many ways are there to select 5 people when you're choosing all 5 of them? Once we do that, since this is a probability problem, let's divide by the number of ways to select 5 managers from 15.

These two problems are the same except for one thing: in part a), each candidate has a specific job, so the order they are picked is important. In contrast, problem b) doesn't care about order.2. A company has 12 members on the board of directors.

a. If they must select a president, vice president, second vice president and secretary, how many different slates of candidates are possible

b. If they must form an ethics subcommittee of four members, how many different subcommittees are possible.

Thanks for your assistance

Eric

Which one is the combination problem, which one is the permutation problem? You should have basic formulae for both of them.

Show us what you've done so far so we can help you.