Answer:
144 boy girl
Step-by-step explanation:
To determine the number of different boy-girl dates that can be arranged from an eighth-grade class with 9 girls and 16 boys, you can use the fundamental principle of counting, specifically the multiplication principle.
Here's how you can approach this problem step by step:
1. First, calculate the total number of different pairs that can be formed by choosing one girl and one boy. Since there are 9 girls and 16 boys, the total number of different pairs can be found by multiplying the number of choices for girls by the number of choices for boys:
Total pairs = 9 girls * 16 boys = 144 different pairs
2. Each of these pairs can be considered as a unique boy-girl date, so the number of different boy-girl dates that can be arranged is 144.
Therefore, there are 144 different boy-girl dates that can be arranged from the eighth-grade class with 9 girls and 16 boys.
