A small corporation must appoint four officers (a president, a chief executive officer, a chief operatingofficer, and a chief financial officer). It must also appoint a Strategic Planning Committee with four people onit. There are a total of 9 qualified candidates, and the chosen officers may also serve on the committee.(a) How many different ways can the four officers be appointed?(b) How many different ways can the committee of four be appointed?(c) What is the probability of randomly selecting the committee members and getting the four youngest of thequalified candidates?