The minimum number of different rooms that will be needed = 18
We know that the Pigeonhole Principle states that if N objects are placed into k boxes, then at least one box contains at least N/k objects.
In this question, we have been given there are 38 different time periods during which classes at a university can be scheduled.
if there are 677 different classes, we need to find the minimum number of different rooms that will be needed.
There exists a time period will have at least 677/38 = 18 classes during
it.
Therefore, 18 different rooms will be needed.
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