To determine which option is viable, let's evaluate each one based on the criteria that the committee must consist of 15 upperclassmen with at least one student from each grade (juniors and seniors).
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Option #1: 4 juniors and 12 seniors
- This option consists of 4 juniors and 12 seniors.
- Total = 4 + 12 = 16 (which is not 15)
- Thus, this option is not viable.
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Option #2: 15 juniors and 0 seniors
- This option consists of 15 juniors and 0 seniors.
- Total = 15 + 0 = 15 (correct total)
- However, there are no seniors included, which fails the requirement of having at least one student from each grade.
- Thus, this option is not viable.
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Option #3: 6 juniors and 9 seniors
- This option consists of 6 juniors and 9 seniors.
- Total = 6 + 9 = 15 (correct total)
- Additionally, there are both juniors and seniors included, satisfying the requirement of having at least one student from each grade.
- Thus, this option is viable.
Based on this evaluation, Option #3: 6 juniors and 9 seniors is a viable solution.