# Considering Sudoku 3

**Discrete Mathematics**Level 5

Using the general principles and goals of a Sudoku puzzle there are many thousands of possible arrangements of digits that would satisfy the conditions for a Sudoku solution.

In order to maintain the possibility of a proper Sudoku solution still available in the grid. Considering only the digits in one column and one row. How many possible different arrangements of digits could be displayed if one full column as well as one full row are filled with digits? i.e. how many ways to replace the “?”s in the grid shown?