A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with five different members. There are 15 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 numbers and getting the five youngest of the qualified candidates?