1. A company decides to fire 5 out of its 15 managers. The 5 fired managers were selected at random. What is the probability that the 5 randomly selected managers to be fired will be the oldest members of the company?

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