Find the coefficient of \( x \) in the determinant \( \left|\begin{...

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Find the coefficient of \( x \) in the determinant \( \left|\begin{array}{l}(1+x)^{a_{1} b_{1}}(1+x)^{a_{1} b_{2}}(1+x)^{a_{1} b_{3}} \\ (1+x)^{a_{2} b_{1}}(1+x)^{a_{2} b_{2}}(1+x)^{a_{2} b_{3}} \\ (1+x)^{a_{3} b_{1}}(1+x)^{a_{3} b_{2}}(1+x)^{a_{3} b_{3}}\end{array}\right| \)
\( \mathrm{P} \)
(A) -3
(B) -2
(C) -1
(D) 0
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