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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.

See The Solution Submitted by K Sengupta    
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thoughts Comment 3 of 3 |
My first thought on seeing the solutions:  Wow there are a lot of solutions.

My second thought: most of them have x=2.  This shouldn't be surprising.  The interesting solutions are the other two.

  Posted by Jer on 2009-04-29 13:35:09
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