Problem 166

Criss Cross

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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