If \( x_{i}=a_{i} b_{i} c_{i}, i=1,2,3 \) are three-digit positive integer such that each \( x_{...
If \( x_{i}=a_{i} b_{i} c_{i}, i=1,2,3 \) are three-digit positive integer such that each \( x_{i} \) is a multiple of 19 , then for same integer \( \mathrm{n} \), \( \Delta=\left|\begin{array}{lll}a_{1} & a_{2} & a_{3} \\ b_{1} & b_{2} & b_{3} \\ c_{1} & c_{2} & c_{3}\end{array}\right| \) is given by
(a) \( 19 n+1 \)
(b) \( 19 n+2 \)
(c) \( 19 n \)
(d) \( 19 n+3 \)
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