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Hello I tried various things but ain't getting where to begin, if anybody would let me know how to solve this it will be of great help

P X B * W Y A


         O A Z O
     O N X W+
 O X N P  + +
O A N Z N O

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    $\begingroup$ Which of PXB and WYA is on top in the usual arrangement of a pencil-and-paper multiplication? Also, you should have six digits in the product, not five. $\endgroup$ Jul 28 '13 at 7:45
  • $\begingroup$ Googling for the letters in this problem online suggests that the product should be "O A N Z N O", not "O A N Z O". $\endgroup$ Jul 28 '13 at 7:50
  • $\begingroup$ Are different letters supposed to represent different numbers? $\endgroup$ Jul 28 '13 at 7:57
  • $\begingroup$ @Mark: That’s the convention, yes. $\endgroup$ Jul 28 '13 at 8:07
  • $\begingroup$ sorry ya my bad... ya 1 letter is 1 digit and every letter has a unique number and also the letter 'O' is not zero(0) $\endgroup$ Jul 28 '13 at 8:19
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By brute-force enumeration of all permutations of ten digits, I have found two solutions which match the PXB * WYA = OANZNO constraint:

418 * 709 = 296363

295 * 164 = 048380

However, for none of these the intermediate expressions are fulfilled.

I guess, the task is to prove a contradiction rather than to find a solution.

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