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Mathematics-Online problems:

Problem of the week


#./interaufg864_en.tex#How many possibilities do exist to arrange the digits $ 1, 2, 3, 4$ in a 4x4 grid if

a)
each digit appears 4 times, e.g.


1 1 1 1
2 2 3 3
4 2 2 3
4 4 4 3


b)
in addition, all digits appear in each row, e.g.


1 2 3 4
1 3 4 2
3 2 4 1
3 4 2 1


c)
moreover, no digit appears more than once in each column, e.g.


1 2 3 4
2 1 4 3
3 4 1 2
4 3 2 1


Fill in a grid where in addition to the constraints of a) - c) no identical digits are placed along the main diagonals.


Answer:

a)      
b)      
c)      


   


[solution to the problem of the previous week]