there are 38 different time periods which classes at a omver

there are 38 different time periods which classes at a omversity can be schedule if there are 677 differetnt classes how many diffrent rooms will be needed

Solution

Answer:

By the generalized pigeon hole principle that is

•If N objects are placed into k boxes, then there is at least one box containing at least N/k objects

Accordingly ,there is at least 1 time slot with [677/38] classes scheduled. This means we need 18 rooms to avoid having 2 classes being held in the same room.