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Difficulties with hotel rooms (Posted on 2007-01-25) Difficulty: 2 of 5
In the universe Roomeron, there are infinitely many planets. Each planet has an infinite number of hotels, and each hotel has an infinite number of rooms. Since the business is so great, you decide to build a hotel of your own, also with an infinite number of rooms. To keep track of the rooms, each is numbered starting at 1. The hotels and planets are similarly numbered.

During the current tourist season, every room of every hotel, (including yours) on every planet is full. A freak catastrophe occurs in every other hotel besides yours and their rooms become trashed. The guests from those hotels ask to stay in your unwrecked hotel.

How can you put the infinitely many guests from infinitely many hotels from infinitely many planets in your already full hotel?

No Solution Yet Submitted by atheron    
Rating: 4.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(7): But... | Comment 15 of 20 |
(In reply to re(6): But... by TamTam)

Rather than making the guests move, you could use your computer generated room numbers and just reassign the number of the room.  That way the current guests wouldn't have to move.
  Posted by Erik O. on 2007-02-01 12:00:49

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