A corporation must appoint a president, a CEO, a CFO, a COO. It must also appoint a planning committee with three different members.

A corporation must appoint a president, a CEO, a CFO, a COO. It must also appoint a planning committee with three different members. There are 11 qualified candidates, and officers can also serve on the committee. How many different ways can the officers be appointed? How many different ways can the committee be appointed? What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates?