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 Difficulties with hotel rooms (Posted on 2007-01-25)
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)

 Subject Author Date re(2): I dont think the previous solutions will work Vishal Gupta 2007-02-03 14:34:54 re(4): But... TamTam 2007-02-03 12:33:09 re(3): But... jeff 2007-02-03 02:03:34 re: I dont think the previous solutions will work brianjn 2007-02-03 00:53:14 I dont think the previous solutions will work Vishal Gupta 2007-02-01 15:19:17 re(7): But... Erik O. 2007-02-01 12:00:49 re: Another solution brianjn 2007-02-01 09:34:59 Another solution Avin 2007-01-31 12:01:29 re(6): But... TamTam 2007-01-31 04:39:56 re(5): But... brianjn 2007-01-31 01:01:52 re(4): But... TamTam 2007-01-29 17:33:49 re(3): But... Gamer 2007-01-29 02:10:43 re(2): But... TamTam 2007-01-28 04:56:46 re: But... Gamer 2007-01-28 01:20:20 But... TamTam 2007-01-27 13:03:53 No Subject Art M 2007-01-26 04:12:30 Hilbert brianjn 2007-01-25 18:34:10 Another way of assigning Gamer 2007-01-25 17:54:58 One of infinitely many ways Jer 2007-01-25 12:58:46 One Solution (spoiler) Vernon Lewis 2007-01-25 09:11:08

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