Table of numbers with 5 rows and 5 columns

Below is a table of numbers with 5 rows and 5 columns. From the table, choose 5 numbers in such a way that no two numbers come from the same row and no two numbers come from the same column. Find the sum of these 5 numbers. Explain the result.

          7      8       5       9      10
          6     7       4        8      9
          9     10     7       11     12
          8     9       6       10     11
          4     5      2          6      7

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About benvitalis

math grad - Interest: Number theory
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