Sophia is selecting a planning committee for her school's annual talent show. The committee must consist of 12 students, with members from both the freshman and sophomore classes. At least two students must be from each class. Which of the following is a viable solution for this situation?(1 point)

Question

Responses

0 freshmen and 12 sophomores
0 freshmen and 12 sophomores

5 freshmen and 7 sophomores
5 freshmen and 7 sophomores

1 freshman and 11 sophomores
1 freshman and 11 sophomores

6 freshmen and 4 sophomore

Answer 1

To meet the requirement that the committee consists of 12 students with at least 2 from each class, we need to evaluate each option provided:

1. 0 freshmen and 12 sophomores: This does not satisfy the requirement of having at least 2 freshmen. (Not viable)

2. 5 freshmen and 7 sophomores: This option includes students from both classes and meets the requirement of having at least 2 from each class. (Viable)

3. 1 freshman and 11 sophomores: This does not satisfy the requirement of having at least 2 freshmen. (Not viable)

4. 6 freshmen and 4 sophomores: This option includes students from both classes and meets the requirement of having at least 2 from each class. (Viable)

Given this analysis, the viable solutions are:

• 5 freshmen and 7 sophomores
• 6 freshmen and 4 sophomores

Since the task is to identify a viable solution and the correct answer is included in the responses, the answer is: 5 freshmen and 7 sophomores.