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29. juni 2009, 15:06:39
Herlock Sholmes 
Onderwerp: 63 !

this is the number of initial positions for Massacre Chess ... or


63 ! = 1.98260832 × 1087


29. juni 2009, 15:51:56
Resher 
Onderwerp: Re: 63 !
Herlock Sholmes:That would be the case if all 64 pieces were unique, but they're not here.  I haven't got time now to come up with what I think is the right answer, but it will be lower than (8^57)x 7! = 1.5 x 10^55

29. juni 2009, 16:16:29
Herlock Sholmes 
Onderwerp: Re: 63 !
Resher: It wasn't my calculation ... it was done by a mathematician ... maybe he was wrong, I don't know..

29. juni 2009, 17:12:13
rabbitoid 
Onderwerp: Re: 63 !
Herlock Sholmes:
the right formula is 64! / ((8!)^8) = 1,816572393163080675696402792818e+52 which is still more than the amount of cents I have in my bank account.

29. juni 2009, 17:47:02
AbigailII 
Onderwerp: Re: 63 !
rabbitoid: That number doesn't consider reflections or rotations.

29. juni 2009, 20:33:50
rabbitoid 
Onderwerp: Re: 63 !
AbigailII: Right. divide again by 8.

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