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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?

  1. Absolute value remains unchanged but sign will change.
  2. Both absolute value and sign will change.
  3. Absolute value will change but sign will not change.
  4. Both absolute value and sign will remain unchanged.
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