The Digital Pet Rock Company was recently successfully funded via Kickstarter and must now appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a strategic planning committee with four different members. There are 10 qualified candidates, and officers can also serve on the committee.

a. How many different ways can the four officers be appointed?

b. How many different ways can a committee of four be appointed?

c. What is the probability of randomly selecting the committee members and getting the four youngest of the qualified candidates?