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If any two columns of a determinant $P=\begin{bmatrix} 4 & 7 & 8\\ 3 & 1 & 5\\ 9 & 6 & 2 \end{bmatrix}$ are interchanged, which one of the following statements regarding the value of the determinant is **CORRECT**?

- Absolute value remains unchanged but sign will change.
- Both absolute value and sign will change.
- Absolute value will change but sign will not change.
- Both absolute value and sign will remain unchanged.