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1 To 15 in a 3x5 Array (Posted on 2004-12-09) Difficulty: 2 of 5

Place the numbers 1 through 15 in a 3 by 5 array so that each column has the same sum and each row has the same sum.

  Submitted by Erik O.    
Rating: 3.0000 (3 votes)
Solution: (Hide)
One solution is:
  1 14  2 12 11
  8  6  9  7 10
 15  4 13  5  3

Charlie's computer program provides all 39 solutions which are not permutations of each other here.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
answerK Sengupta2007-11-12 02:35:15
Independent verificationowl2004-12-09 20:29:17
re: Bug fixed and solutions multiplyCharlie2004-12-09 19:25:19
SolutionBug fixed and solutions multiplyCharlie2004-12-09 19:15:13
By handSandeep2004-12-09 16:44:20
re: All the solutions--computer solutionHugo2004-12-09 15:53:03
SolutionAll the solutions--computer solutionCharlie2004-12-09 15:23:29
SolutionOne SolutionMichael Cottle2004-12-09 15:13:21
SolutionAnother solutionHugo2004-12-09 15:12:43
Some ThoughtsFirst Hopeless attemptSyzygy2004-12-09 15:08:43
SolutionA solutionOld Original Oskar!2004-12-09 15:04:56
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