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a puzzle

Posted By: Ray Kershaw
Date: Saturday, 23 October 2010, at 10:20 p.m.

In Response To: a puzzle (Daniel Murphy)

Congratulations Daniel in showing that there is a position where it is possible to get off the gammon with 41 played before 63 but not with 63 played before 41.

There are 21 C 2 = 210 combinations of different rolls for which this question can be asked. I wonder for how many of these it is possible to devise a position where playing roll A before roll B works but playing roll B before roll A does not.

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