The administration of a certain school surveys all \(120\) students to plan a field trip. Each student can express a

The administration of a certain school surveys all \(120\) students to plan a field trip. Each student can express a preference for only one destination: the science museum, the art museum, or neither. The results of the student survey are shown above. Assuming that the maximum number of students who are allowed to visit their preferred museum visit that museum for the field trip, how many students who have a preference do not visit their preferred museum?

1. Due to transportation constraints, the maximum number of students who can take a field trip to the science museum is \(55\)

2. Due to high demand, the art museum can accommodate a maximum of \(50\) students

The OA is C