Given a group of students: G = {Allen, Brenda, Chad, Dorothy, Eric) or G = {A, B, C, D, E, list and count the differen ways of choosing the following officers or representatives for student congress (Allen, Chad, and Eric are men) Assume that no one can hold more than one office. A president, a secretary, and a treasurer, if the president must be a woman and the other two must be men
A) BAC, BAE, BCE, DAC, DAE, DCE, BCA, BEA, BEC, DCA, DEA, DEC:12 ways
B) CAB, EAB, ECB, CAD, EAD, ECD, ACB, AEB, CEB, ACD, AED, CED; 12 ways
C) BAC, BAE, DAC, DAE; 4 ways
D) BAC, BAE, BCE, DAC, DAE, DCE; 6 ways