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Subject: number of pawn positions in chess...

Author: Dan Ellwein

Date: 15:34:49 01/12/00

Hi

Just wanted to bounce this off of the group and see if this is an accurate
representation of how many (non redundant) pawn positions there are in chess...


(0,8)(1,7)(2,6)(3,5)(4,4) 8P 48x47x46x45x44x43x42x41  x5 = _______
(0,7)(1,6)(2,5)(3,4)      7P 48X47X46X45X44X43X42     x4 = _______
(0,6)(1,5)(2,4)(3,3)      6p 48X47X46X45X44X43        x4 = _______
(0,5)(1,4)(2,3)           5P 48x47x46x45x44           x3 = _______
(0,4)(1,3)(2,2)           4P 48x47x46x45              x3 = _______
(0,3)(1,2)                3P 48x47x46                 x2 = _______
(0,2)(1,1)                2P 48x47                    x2 = _______
(0,1)                     1P 48                       x1 = _______


Number of non redundant pawn postions in chess  --  TOTAL: _______

haven't done the math on it yet, but it looks like about 75 trillion...

thanks...

PilgrimDan

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