The Hotel Dilemma
A hotel has 90 rooms and 100 guests.The manager wants to give the keys of the rooms to the guests in such manner that each group of 90 guests can enter a unique room (the room to which they have the key) and also not any 2 guests can be in a single room.At least how many keys should the manager provide for that idea to be workable?
Details and assumptions:
- The guests cannot exchange keys.
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