Question

Suppose that there are 24 different time slots when classes can be scheduled, and 232 different...

Suppose that there are 24 different time slots when classes can be scheduled, and 232 different classes to schedule. How many classrooms are needed to make this work? (Assume time slots do not overlap and any class can be scheduled in any classroom.)

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Answer #1

Number of time slots = n = 24

Number of classes = k = 232

there is at least 1 time slot with [232/24] classes scheduled

232/24 = 9,67

This means we need 10 rooms to avoid having 2 classes being held in the same room.

Number of classrooms needed = 10

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