All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > General
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(4): But... | Comment 10 of 20 |
(In reply to re(3): But... by Gamer)

Why, then you'll need an infinite amount of them, to enable your infinite guests to travel in a finite amount of time. And since each elevator takes up space, together they'll take up an infinite amount of space, leaving no room for guests. =(
Or maybe there will still be room? Infinity minus infinity is an unknown amount, right? Argh...

But anyway, you can't have infinitely fast elevators - they can never move faster than the speed of light!
Great, now I'm trying too hard to make sense, which rather defeats the purpose of the problem. Okay, you win. =P

  Posted by TamTam on 2007-01-29 17:33:49

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information