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.
-A treasurer and a secretary if the two must not be the same sex

A) AB, AD, CB, CD, EB, ED, BA, DA, BC, DC, BE, DE; 12
B) AB, AC, AD, AE, BC, BD, BE, CD, CE, DE; 10
C) AB, CB, EB; 3
D) AB, AD, CB, CD, EB, ED; 6