Question 3
Exercise 9. Fill in each cell of a $3\times3$ table one of the numbers $1,2,3,\ldots,9$ such that each number is used exactly once. It is given that the three multiples of 3 must be located in different rows and different columns. In how many ways can these numbers be filled ?
**Editorial input convention:** Rows and columns are fixed positions; count rotated or reflected arrangements separately.
**Editorial input convention:** Rows and columns are fixed positions; count rotated or reflected arrangements separately.