There are \(12\) ways to choose soldiers:

1) intersection of row 1 and of column 1; set is \([(1, 1)]\); \((1, 1)\) received personal command

2) intersection of row 2 and of column 1 ; set is \([(2, 1)]\); \((2, 1)\) received personal command

3) intersection of row 2 and of column 2; set is \([(2, 2)]\); \((2, 2)\) received personal command

4) intersection of row 3 and of column 2; set is \([(3, 2)]\); \((3, 2)\) received personal command

5) intersection of rows 1, 2 and columns 1, 2; set is \([(1, 1), (1, 2), (2, 1), (2, 2)]\); \((1, 1)\) received personal command

6) intersection of rows 1, 2 and columns 1, 2; set is \([(1, 1), (1, 2), (2, 1), (2, 2)]\); \((2, 1)\) received personal command

7) intersection of rows 1, 2 and columns 1, 2; set is \([(1, 1), (1, 2), (2, 1), (2, 2)]\); \((2, 2)\) received personal command

8) intersection of rows 1, 3 and columns 1, 2; set is \([(1, 1), (1, 2), (3, 1), (3, 2)]\); \((1, 1)\) received personal command

9) intersection of rows 1, 3 and columns 1, 2; set is \([(1, 1), (1, 2), (3, 1), (3, 2)]\); \((3, 2)\) received personal command

10) intersection of rows 2, 3 and columns 1, 2; set is \([(2, 1), (2, 2), (3, 1), (3, 2)]\); \((2, 1)\) received personal command

11) intersection of rows 2, 3 and columns 1, 2; set is \([(2, 1), (2, 2), (3, 1), (3, 2)]\); \((2, 2)\) received personal command

12) intersection of rows 2, 3 and columns 1, 2; set is \([(2, 1), (2, 2), (3, 1), (3, 2)]\); \((3, 2)\) received personal command