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The value of \(\begin{vmatrix}(a+1)(a+2)&(a+2)&1\\(a+2)(a+3)&a+3&1\\(a+3)(a+4)&a+4&1\end{vmatrix}\) is 

(1) (a + 2) (a + 3) (a + 4)

(2) -2

(3) (a + 1) (a + 2) (a + 3)

(4) 0

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