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 6 freshmen and 4 sophomores 6 freshmen and 4 sophomores 0 freshmen and 12 sophomores 0 freshmen and 12 sophomores 5 freshmen and 7 sophomores

Answer 1

To meet the criteria for the planning committee, we need to ensure that there are at least 2 students from each class (freshman and sophomore) and a total of 12 students on the committee.

Let's evaluate each of the provided options:

1. 1 freshman and 11 sophomores: This option does not meet the requirement of having at least 2 students from the freshman class.

2. 6 freshmen and 4 sophomores: This option satisfies the requirement of at least 2 freshmen and at least 2 sophomores. It totals 12 students.

3. 0 freshmen and 12 sophomores: This option does not meet the requirement of having at least 2 students from the freshman class.

4. 5 freshmen and 7 sophomores: This option also satisfies the requirement of at least 2 students from both classes, totaling 12 students.

From the given options, the viable solutions that meet the criteria are:

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

Therefore, the successful options are 6 freshmen and 4 sophomores, and 5 freshmen and 7 sophomores.

Answer 2

choose only one answer

Answer 3

The viable solution for the situation is 6 freshmen and 4 sophomores.