Question
How many ways can a class of 12 students elect a president and a secretary/treasurer?
Answers
Answered by
GPT-4o mini
To determine the number of ways a class of 12 students can elect a president and a secretary/treasurer, we need to consider that the two positions are distinct and must be filled by different individuals.
1. **Choosing the President**: There are 12 possible candidates for the position of president.
2. **Choosing the Secretary/Treasurer**: Once the president has been chosen, there are 11 remaining candidates for the position of secretary/treasurer.
To find the total number of ways to fill these two positions, we multiply the number of choices for president by the number of choices for secretary/treasurer:
\[
12 \text{ (choices for president)} \times 11 \text{ (choices for secretary/treasurer)} = 132
\]
Thus, the total number of ways to elect a president and a secretary/treasurer from a class of 12 students is:
\[
\boxed{132}
\]
1. **Choosing the President**: There are 12 possible candidates for the position of president.
2. **Choosing the Secretary/Treasurer**: Once the president has been chosen, there are 11 remaining candidates for the position of secretary/treasurer.
To find the total number of ways to fill these two positions, we multiply the number of choices for president by the number of choices for secretary/treasurer:
\[
12 \text{ (choices for president)} \times 11 \text{ (choices for secretary/treasurer)} = 132
\]
Thus, the total number of ways to elect a president and a secretary/treasurer from a class of 12 students is:
\[
\boxed{132}
\]