< Puzzles < Set theory puzzles
Puzzles | Set theory Puzzles | The infinite hotel
You are the manager of a hotel with an infinite, countable number of rooms. All rooms are currently being occupied. One day a new guest arrives and asks for a room.
- How do you make room to accommodate this new guest?
Later on that day, the infinite hotel next door has a flood and all of those guest come over to your hotel and ask for a room.
- A countable, infinite number of guests arrive. Can you make room for them all?
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