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Ambiguous dice (Posted on 2010-12-21) Difficulty: 2 of 5


A set of five dice is marked 1 to 6, but instead of commonly used spots bears Arabic digits .
After a single roll of dice they are arranged to represent a 5-digit number.
It is found that this number fullfils ALL of the following conditions:
1. There is no descending order of digits within this number.
2. No digit is repeated more than twice within this number.
3. At least one of the digits in the number is bigger than 5.

How many such 5 - digit numbers exist?

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre(2): computer findings--now adding the ambiguityCharlie2010-12-23 03:33:13
re: computer findings--unambiguouslyAdy TZIDON2010-12-22 17:42:14
Solutioncomputer findings--unambiguouslyCharlie2010-12-22 02:55:52
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