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Probable Near Pandigital Poser (Posted on 2010-01-31) Difficulty: 3 of 5
Determine the probability that a 15-digit base ten positive integer with no leading zero contains each of the digits from 0 to 9 at least once, but at most twice.

As a bonus, determine the probability that a 15-digit base ten positive integer having no zero digit contains each of the digits from 1 to 9 at least once, but at most twice.

  Submitted by K Sengupta    
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Solution: (Hide)
The required probability is 321810489/31250000000.

For the bonus question, the required probability is 784784000/94143178827.

For an explanation, refer to the solution submiited by Charlie in this location.

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  Subject Author Date
SolutionsolutionCharlie2010-01-31 14:09:57
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