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Binomial Pandigital(s) (Posted on 2009-04-28) Difficulty: 2 of 5
Determine all possible pair(s) (M, X) of positive integers, with M - 1 > X > 1, such that the decimal representation of MCX consists of non leading zeroes and contains each of the digits 0 to 9 exactly once.

Note: MCX is the number of X-element subsets (the X-combinations) of an M-element set, that is the number of ways that X things can be 'chosen' from a set of M things.

  Submitted by K Sengupta    
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Solution: (Hide)
Many pairs are possible, in terms of the given conditions.

For a comprehensive list of all these pairs together with the methods for deriving them, refer to the solution submitted by Daniel in this location, and the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
thoughtsJer2009-04-29 13:35:09
Solutioncomputer solution in basicCharlie2009-04-28 12:28:47
Computer SolutionDaniel2009-04-28 11:43:59
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