Solve the problem.
-Given a committee of 8 women and 11 men, how many different ways are there to pick a female president, a male treasurer, and a secretary of either gender if one of the men, Pete, says that he
Cannot be the treasurer? Assume that none can hold more than one office.
A)1360
B)1672
C)1520
D)1496

Question

Quizplus · Accepted Answer

There are 8 ways to choose a female president, 10 ways to choose a male treasurer (since Pete cannot be the treasurer), and 19 ways to choose a secretary of either gender. So, the total number of ways to pick a female president, a male treasurer, and a secretary of either gender is 8 * 10 * 19 = 1520.

Solve the Problem. -Given a Committee of 8 Women and 11 Men, How