perplexus.info :: Probability : Is it Possible?

Is it Possible? (Posted on 2024-09-06)

Is it possible to create a 3 x 3 matrix, using only the numbers -1, 0, and 1 such that all six row and column sums are distinct?

***Adapted from OSSMB 84-7

No Solution Yet Submitted by K Sengupta

Rating: 3.0000 (1 votes)

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re: Slightly different solution

| Comment 3 of 5 |

(In reply to Slightly different solution by Jer)

This proof is not complete, Jer. It fails to rule out sums of -2,-1,0,1,2,3, where 3 and -2 are both row sums.

Posted by Steve Herman on 2024-09-07 17:48:40

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