198k views
4 votes
Assuming all members are eligible but no one can hold more than one office, list and count the different ways the club could elect a president, and a treasurer if the president must be a man and the other two must be women . N=[A,B,C,D,E]. Choose the correct list of possible trios of presidents, secretaries, and treasurers.

1 Answer

4 votes

ANSWER:

ACE, AEC, BCE, BEC, DCE, DEC

Explanation:

As president must be male while secretary A-B-D (Alfred, Brad, Daniel) treasurer are both females. So we have the possible combination as:

ACE, AEC, BCE, BEC, DCE, DEC

User Pedro Del Sol
by
3.8k points