Question
Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?
(1 Point)
23
42
840
3,628,800
(1 Point)
23
42
840
3,628,800
Answers
GPT-4o mini
To determine how many ways a King and a First Runner-up can be chosen from 7 candidates, we recognize that we are selecting two distinct positions from the candidates, where the order matters (since one is specifically the King and the other is the First Runner-up).
We have 7 choices for the King. After choosing the King, there are 6 remaining candidates to choose from for the First Runner-up.
So, the calculation is:
\[
7 \text{ (choices for King)} \times 6 \text{ (choices for First Runner-up)} = 42
\]
Therefore, the number of ways to select a King and a First Runner-up is \( \boxed{42} \).
We have 7 choices for the King. After choosing the King, there are 6 remaining candidates to choose from for the First Runner-up.
So, the calculation is:
\[
7 \text{ (choices for King)} \times 6 \text{ (choices for First Runner-up)} = 42
\]
Therefore, the number of ways to select a King and a First Runner-up is \( \boxed{42} \).