A student formed a club at their school. They have 13 members, and need to elect a president, vice president, and treasurer. How many ways are there to fill these officer positions?

• A. 2197
• B. 1716
• C. 13
• D. 6

Answer: (B)

Verified step by step guidance

1. Identify the number of positions to be filled: president, vice president, and treasurer. This means there are 3 positions to fill.
2. Determine the number of choices for the first position (president). Since there are 13 members, there are 13 possible choices for president.
3. After selecting the president, there are 12 members left. Determine the number of choices for the second position (vice president). There are 12 possible choices for vice president.
4. After selecting the vice president, there are 11 members left. Determine the number of choices for the third position (treasurer). There are 11 possible choices for treasurer.
5. Calculate the total number of ways to fill the positions by multiplying the number of choices for each position: 13 (president) * 12 (vice president) * 11 (treasurer).