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Pandigital and divisible (Posted on 2010-12-26) Difficulty: 2 of 5
What percentage of pandigital* numbers is divisible by 990 ?


*A pandigital number consists of 10 distinct digits.

Try to solve analytically.

  Submitted by Ady TZIDON    
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Solution: (Hide)
( 11* 5!* 4!)/(9!* 9) = 0.9700176% if no leading zeroes are allowed.
see Dan Rosen's posts.
Replace the 9*9! by 10! for the case of leading zeroes allowed.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionCorrection of analytical solutionDan Rosen2011-04-01 23:20:55
SolutionAnalytical SolutionDan Rosen2011-04-01 11:37:56
Hints/Tipsre: computer solution ahint for ChAdy TZIDON2010-12-26 20:17:29
Solutioncomputer solutionCharlie2010-12-26 19:45:19
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