Let I denote the `3 times 3` identity matrix and P be a matrix obtained by rearranging the columns of I. Then-
A. there are six distinct choices for P and det(P)=1
B. there are six distinct choices for P and det(P) =`pm`1
C. there are some than one choices for P and some of them are not invertible.
D. there are more than one choices for P and `P^(-1)=I` in each choice.