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Problem 166

Published on 03 November 2007 at 01:00 pm [Server Time]

A 4x4 grid is filled with digits d, 0 ≤ d ≤ 9.

It can be seen that in the grid

6 3 3 0
5 0 4 3
0 7 1 4
1 2 4 5

the sum of each row and each column has the value 12. Moreover the sum of each diagonal is also 12.

In how many ways can you fill a 4x4 grid with the digits d, 0 ≤ d ≤ 9 so that each row, each column, and both diagonals have the same sum?


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