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 president, a secretary, and a treasurer, if the president must be a woman and the other two must be men
A)BAC, BAE, DAC, DAE; 4
B)BAC, BAE, BCE, DAC, DAE, DCE, BCA, BEA, BEC, DCA, DEA, DEC; 12
C)BAC, BAE, BCE, DAC, DAE, DCE; 6
D)ABD, CBD, EBD; 3

Question

Quizplus · Accepted Answer

The Answer of 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 president, a secretary, and a treasurer, if the president must be a woman and the other two must be men
A)BAC, BAE, DAC, DAE; 4
B)BAC, BAE, BCE, DAC, DAE, DCE, BCA, BEA, BEC, DCA, DEA, DEC; 12
C)BAC, BAE, BCE, DAC, DAE, DCE; 6
D)ABD, CBD, EBD; 3

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