Question

Three officers -- president, treasurer, and secretary -- are to be chosen from among four people: Ann, Bob, Cyd, and Dan.

Answer 1

Answer:

18

Step-by-step explanation:

First choose the president. From the 4 people, everyone can be the president except Dan, so there are 3 choices.

Then, choose the treasurer. Neither Bob nor Dan can be the treasurer so there are only 2 choices.

Now choose the secretary. Cyd is the only person who can't take this position, so there are 3 choices.

We are asked by the number of ways of choosing the 3 officers. Using the product rule, this is equal to 3×2×3=18.