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) Responses 1 freshman and 11 sophomores 1 freshman and 11 sophomores 5 freshmen and 7 sophomores 5 freshmen and 7 sophomores 0 freshmen and 12 sophomores 0 freshmen and 12 sophomores 6 freshmen and 4 sophomores

Answer 1

To meet the requirements for the committee selection, the solution must consist of a total of 12 students with at least 2 students from each class (freshmen and sophomores).

Let's analyze the options:

1. 1 freshman and 11 sophomores: Not viable, as it does not meet the requirement of having at least 2 freshmen.
2. 5 freshmen and 7 sophomores: Viable, as it meets the requirement of having at least 2 freshmen and at least 2 sophomores.
3. 0 freshmen and 12 sophomores: Not viable, as it does not have any freshmen.
4. 6 freshmen and 4 sophomores: Viable, as it meets the requirement of having at least 2 freshmen and at least 2 sophomores.

From this analysis, the viable solutions are:

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

So, the responses that are viable solutions are:

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