let I denote a 3x3 identity matrix and p is obtained by rearranging the columns of I

WHICH OF THE FOLLOWING IS CORRECT?

- there are six distinct choices of P and determinant of P is 1
- there are six distinct choices of P and determinant of P is - 1 or +1
- there are more then one choices for P and inverse of P is always equal to I
- there are more then one choices for P and some of them are invertible

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