Given a Group of Students: G = {Allen, Brenda, Chad

Multiple Choice

Given a group of students: G = {Allen, Brenda, Chad, Dorothy, Eric} or G = {A, B, C, D, E}, list and count the different ways of choosing the following officers or representatives for student congress. Assume that no one can hold more than one office.
-Three representatives, if two must be male and one must be female

A) ACB, ACD, AEB, AED, CEB, CED, DEC, BEC, DEA, BEA, DCA, BCA; 12
B) ABC, CDE; 2
C) ACB, ACD, AEB, AED, CEB, CED; 6
D) ACB, ACD, AEB, AED; 4