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Jim is so happy after finding three solutions to a problem, then he texts Bob this :

Bob, I have found 3 solutions for your problem. I do not know whether these three are the only solutions or not, but I am sure there must be less than 15 solutions.

1A,1C,2C,2E,3A,3B,4E,4F,5B,5D,6D,6F
1A,1C,2D,2E,3B,3F,4A,4B,5E,5F,6C,6D
1A,1C,2E,2F,3B,3E,4A,4B,5D,5F,6C,6D

Bob then replies:

Thank you Jim, your solution works perfectly.

Addition to make the puzzle clear :

2 Days later, Jim texts Bob.

I have found all the solutions, it has exactly 11 solutions,
but I hope you find the other solutions yourself

What are they trying to solve ?

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3 Answers 3

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I think it is

Planting 12 trees on a 6x6 field such that not more than 2 trees lie in the same straight line.the Apparently, the Number of solutions might turn out to be 11.

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The problem they are trying to solve is:

How to place 12 points in a 6x6 table such that each line and each column contains exactly 2 points, and that the bottom half, the top half, the left half and the right half all contain 6 points each.

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  • $\begingroup$ Still wrong, almost right, because the solutions must be less than 15 $\endgroup$
    – Jamal Senjaya
    Sep 23, 2016 at 8:15
  • $\begingroup$ @JamalSenjaya I tried harder. $\endgroup$
    – Bogdan Alexandru
    Sep 23, 2016 at 8:18
  • $\begingroup$ your last edit is still wrong, because with your problem you will find more than 15 solutions. $\endgroup$
    – Jamal Senjaya
    Sep 23, 2016 at 8:24
  • $\begingroup$ @KeyurPATEL Nope $\endgroup$
    – Jamal Senjaya
    Sep 23, 2016 at 8:33
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The puzzle is:

Placing 12 points in a 6x6 table such that each row and each column contains exactly 2 points and diagonally contains 1 or 2 points.

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  • $\begingroup$ Good start, but the problem is more complex than that. $\endgroup$
    – Jamal Senjaya
    Sep 23, 2016 at 9:50
  • $\begingroup$ Ok, i will try.. Thank you for a nice question..Upvote for you.. $\endgroup$
    – KSR
    Sep 23, 2016 at 9:51

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