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

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

Answer 1

To determine a viable solution for the planning committee, we need to ensure that the chosen composition meets the requirement of having at least two students from each class.

Let's evaluate each option:

1. 5 freshmen and 7 sophomores: This option has 5 freshmen (which is greater than 2) and 7 sophomores (which is also greater than 2). This meets the requirement. (Viable solution)

2. 1 freshman and 11 sophomores: This option has only 1 freshman, which does not meet the requirement of at least 2 freshmen. (Not a viable solution)

3. 0 freshmen and 12 sophomores: This option has 0 freshmen, which does not meet the requirement of at least 2 freshmen. (Not a viable solution)

4. 6 freshmen and 4 sophomores: This option has 6 freshmen (which is greater than 2) and 4 sophomores (which is also greater than 2). This meets the requirement. (Viable solution)

Out of the given options, the viable solutions are:

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

So, 5 freshmen and 7 sophomores is one of the viable solutions.