Infinite hotel

Level 1

This problem doesn't make sense—you have to use your imagination.

There is a hotel with infinite rooms (just use your imagination). A man turns up and says he wants a room. To which he is told they are full (IMPOSSIBLE).

So, how does the hotel management solve the problem?

everyone moves up a room they build another floor they can't its impossible he goes away

Bailey Foster by Bailey Foster , 23, United Kingdom

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3 solutions

Shreya R
May 27, 2014

See this video- a complete explanation!!

2 Helpful 0 Interesting 0 Brilliant 0 Confused
James Shi
Feb 2, 2014

This isn't a solution but I'll write it here anyways. The amount of whole numbers and natural numbers are equal (same size of infinity), even though 0 is a whole number and not a natural number. The bijection between whole numbers and natural numbers is the idea I used to solve this problem.

2 Helpful 0 Interesting 0 Brilliant 0 Confused
John M.
Aug 29, 2014

Actually the hotel management could've solved the problem with any of the listed ways in the multiple choice selection.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

The disadvantage with the correct option is that they would have to keep moving up a room F O R E V E R . \huge{FOREVER.}

Abdur Rehman Zahid - 6 years, 5 months ago

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