Given a group of students: or 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

Question

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

Answer 1

Answer: B