Permutations of numbers in columns and lines

Hi folks I'm trying to find a way to find all the possible permutations on an array of 4x4 without allowing the repetition of lines and columns. So one would get the smallest value in a column and than the next value would not take into account the first column since there was a number chosen from there already and from the line chosen and so forth.

So let's say that you have:
        1      2      3      4
A    94     1     54    68
B    74    10    88    82
C    73    88     8     76
D     1     74    81    21

Any help in giving me a way to achieve it would be much appreciated. Cheers.
Rodrigo CostaLecturerAsked:
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Mark BullockQA EngineerCommented:
If your set of numbers is what you've shown above, you put the first number in A1, then one of the remaining numbers (excluding the number in A1) in A2 and repeat.
So it's something like 16-factorial minus a few.
You can solve it with recursion or looping.

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