(A) A project manager must select four analysts from her group to write four different software functions. There are 9 junior and 8 senior analysts in her group. The first and fourth functions can be written by any of the analysts. The second function must be written by a senior person and the third function must be written by a junior person. How many ways are there for her to assign the analysts to the functions if no person can be assigned to more than one function?

(B) Suppose a network has 40 servers of which 5 fail. How many possibilities are there for the 5 that fail?

(C) 20 people have volunteered for a 5-person neighborhood advocacy committee. 11 of them are homeowners and the rest are local business owners. How many ways are there to select the 5-person committee such that exactly 3 local business owners are represented?