BrainKing - 讨论板 (BrainKing.com)

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BrainKing.com

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World Of Chess And Variants (videos from BrainKing): YouTube
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29. 六月 2009, 15:06:39

Herlock Sholmes

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题目: 63 !

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

63 ! = 1.98260832 × 10⁸⁷

29. 六月 2009, 15:51:56

Resher

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题目: 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. 六月 2009, 16:16:29

Herlock Sholmes

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题目: Re: 63 !

Resher: It wasn't my calculation ... it was done by a mathematician ... maybe he was wrong, I don't know..

29. 六月 2009, 17:12:13

rabbitoid

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题目: 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. 六月 2009, 17:47:02

AbigailII

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题目: Re: 63 !

rabbitoid: That number doesn't consider reflections or rotations.

29. 六月 2009, 20:33:50

rabbitoid

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题目: Re: 63 !

AbigailII: Right. divide again by 8.