Suppose that there are 100 applicants for 5 positions at a certain company, and the company is able to narrow the final field to 17 equally qualified...

Suppose that there are 100 applicants for 5 positions at a certain company, and the company is able to narrow the final field to 17 equally qualified candidates. Ten (10)of the finalists are men and 7 are women. Assume that the 5 who are chosen for thepositions are selected at random (not a good way to hire workers!) from the finalgroup of 17. Calculate the probability that:

a. Three of the five hired are women.

b. Only one of the males is hired.

c. At least one of those hired is a women.

d. Exactly four of the males are hired.