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Hotel ∞ (infinity)

Hotel Infinity

Imagine Hotel ∞, a hotel with an infinite number of rooms. You are the hotel manager, and you are extremely busy. All rooms are occupied.

Late in the evening, an infinite number of guests arrive (probably from a parallel universe), all of them asking for a room.

You are a clever businessman, and you want to earn a packet.

How can you put all of them in their own room (without kicking guests out of the hotel)?

IQ solution