How many different ways can the officers be appointed?

Question

A corporation must appoint a president, cheif exectuive officer (CEO), cheif operating officer (COO), and cheif financial officer (CFO). It must also appoint a planning committee with five different members. There are 26 qualified candidates, and officers can also serve on the committee.

 

How many different ways can the officers be appointed? 

 

I got the answer 524160 by doing 16 nPr 5, but its suppose to be 43,680. 

Answer 1

# ways to choose 4 highest executives is 26C4= 14,950.

 

# ways to populate the committee of five is 26C5.  You can calculate that!