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Subject: Re: Who knows the answer of this:

Author: Roy Eassa

Date: 14:41:53 12/19/01

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On December 19, 2001 at 17:32:24, Gustavo Pereira wrote:

>On December 19, 2001 at 16:57:46, Michel Langeveld wrote:
>
>>Problem = 1 - ( 16777216! / (16746008! * 16777216 ^ 31208) )
>>
>>16777216 = Number of records in my hashtable
>>31208    = Number of nodes searched
>>
>>Windows calculator says BOOM.
>>
>>If Problem > 0.5 then I've spend 15 hours debugging for nothing :-)
>
>If you simplify you get
>
>1- (31208!/16777216^31208)
>
>Now, 31208/16777216 is the biggest term in the division, which is 0.00186014
>and the other 31207 multiplications are smaller.
>So your result is as close to 1 as possible.


Did you do this by assuming that X!/Y! is equal to (X-Y)! ?  I don't think
that's the case.

The best simplification I could find is

Problem = 1 - ( 16777215! / (16746008! * 16777216 ^ 31207) )



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