1. Suppose that you are working at the main desk of the Hotel Infinity.  Each and every room is occupied.  Someone comes to the hotel and wants room.  Tell two different ways you could make room for the new person (Everyone in a room at the beginning is in a room at the and, and no one has to share).  Tell what room the new person goes in.

2. Suppose that you are working at the main desk of the Hotel Infinity.  Each and every room is occupied.  Four more people come to the hotel and want rooms.  Tell two different ways you could make room for the new people (Everyone in a room at the beginning is in a room at the and, and no one has to share).  Tell what rooms the new people go in.

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