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Re: 15! permutations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg108694] Re: 15! permutations
  • From: János Löbb <janos.lobb at yale.edu>
  • Date: Sat, 27 Mar 2010 05:12:44 -0500 (EST)

On Mar 26, 2010, at 6:35 AM, Nicola Mingotti wrote:

> On 2010-03-25 12:11:52 +0100, bn77 said:
>
>> Hi,
>>
>> I'm trying to write a program in mathematica that compares roughly
>> (15!)^2 / 2 pairs of permutations of length 15. Can mathematica do 
>> this
>> in a reasonable time? Any experience of this sort?
>>
>> TIA,
>> bn77
>
> The number of permutations is then :
> N[((15!)^2)/2]  ==> 8.55006*10^23
>
> Supposing you can compare 10^9 objects per second
> you would need 10^4 seconds that is 3.171 milion years
> according to Wolfram Alpha conversion.

That means 1 second == 317.1 year.  Looks to me like Star Trek.  Its is 
no wonder why Wolfram calls this Alfa :-)  I am waiting for B=E9ta.

J=E1nos


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