132. You Have Teleported Down to a Hitherto Unvisited Planet
You have teleported down to a hitherto unvisited planet, upon which you discover the following:
1. No two inhabitants have the same number of hairs on their head.
2. No inhabitant has exactly 518 hairs.
3. There are more inhabitants in town than hairs on any individual inhabitant's head.
What is the highest possible number of inhabitants?
Submitted by ihatenuts · Added 10 March 2013
Solution:
The maximum number of inhabitants can be 518 if one person is bald (having 0 hairs), allowing for 517 others to have unique hair counts from 1 to 517. If all inhabitants have hair, the maximum is 517, as no one can have exactly 518 hairs.
Comments (2)
518
518 people if 1 person is bald .Otherwise 517 people all with hair on their head.
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