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February 21, 2018, 05:04:22 PM
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: Population of Funkycity?  ( 3347 )
« : May 15, 2007, 11:12:19 PM From Prateek»



Population of Funkycity?


In the city of Funkycity, the following facts are true:

    * No two inhabitants have exactly the same number of hairs.
    * No inhabitant has exactly 483,207 hairs.
    * There are more inhabitants than there are hairs on the head of any one inhabitant.

What is the largest possible number of inhabitants of Funkycity?

 
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« #1 : May 30, 2007, 11:32:11 PM From rohit»

483207
« #2 : June 02, 2007, 05:04:39 PM From spazinvader»

Could u explain rohit?
I dont get the solution of yours
« #3 : June 13, 2007, 10:40:35 PM From Poonam»

Condition 3: There are more inhabitants than there are hairs on the head of any one inhabitant.

This means that if the number of hair on a person is 2 then there can be max 3 people with 0, 1 & 2 hairs each. Hence if the maximum number of hairs on an individual is n then there can be n+1 people with 0 to n hairs on them.

From condition 2 the maximum number of hair on an individual can only be 483,206 hairs as there isn't anyone with 483,207 hairs. Hence the maximum number of individuals in the city can only be 483,206 + 1 = 483,207!
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