A group of five applicants for a pair of identical jobs

QUESTION:

A group of five applicants for a pair of identical jobs consists of three men and two women. The employer is to select two of the five applicants for the jobs. Let S denote the set of all possible outcomes for the employer’s selection. Let A denote the subset of outcomes corresponding to the selection of two men and B the subset corresponding to the selection of at least one woman. List the outcomes in A, \(\bar{B}\), \(A \cup B\), \(A \cap B\), and \(A \cap \bar{B}\). (Denote the different men and women by \(M_{1}\), \(M_{2}\), \(M_{3}\) and \(W_{1}\), \(W_{2}\), respectively.)