4.4 Five applicants (Jim, Don, Mary, Sue, and Nancy)

are available for two identical jobs. A supervisor selects two applicants to fill these jobs.

a List all possible ways in which the jobs can be filled. (That is, list all possible selections of two applicants from the five.)

b Let A denote the set of selections containing at least one male. How many elements are in A?

c Let B denote the set of selections containing exactly one male. How many elements are in B?

d Write the set containing two females in terms of A and B.

e List the elements in .