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Consider a system of linear equations \( 3 x+y-z=0, x-\frac{p y}{4} \) \( +z=2 \) and \( 2 x-y+2 z=q \) where \( p, q \in I \) and \( p, q \in[1,10] \) then identify the correct statement(s).
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ List-I } & \multicolumn{2}{|c|}{ List-II } \\
\hline A. & \( \begin{array}{l}\text { Number of ordered pairs }(p, q) \\
\text { for which system of equation } \\
\text { has unique solution is }\end{array} \) & p. & 1 \\
\hline B. & \( \begin{array}{l}\text { Number of ordered pairs }(p, q) \\
\text { for which system of equation } \\
\text { has no solution is }\end{array} \) & q. & 9 \\
\hline C. & \( \begin{array}{l}\text { Number of ordered pairs }(p, q) \\
\text { for which system of equation } \\
\text { has infinite solutions is }\end{array} \) & r. & 10 \\
\hline D. & \( \begin{array}{l}\text { Number of ordered pairs }(p, q) \\
\text { for which system of equation } \\
\text { has atleast one solution is }\end{array} \) & s. & 90 \\
\hline & & t. & 91 \\
\hline
\end{tabular}
(a) \( \mathrm{A} \rightarrow \) (s); \( \mathrm{B} \rightarrow \) (q); \( \mathrm{C} \rightarrow(\mathrm{p}) ; \mathrm{D} \rightarrow \) (t)
(b) \( \mathrm{A} \rightarrow \) (s); \( \mathrm{B} \rightarrow \) (r); \( \mathrm{C} \rightarrow \) (p); \( \mathrm{D} \rightarrow \) (s)
(c) \( \mathrm{A} \rightarrow \) (s); \( \mathrm{B} \rightarrow \) (r); \( \mathrm{C} \rightarrow \) (q); \( \mathrm{D} \rightarrow \) (t)
(d) \( \mathrm{A} \rightarrow \) (s); \( \mathrm{B} \rightarrow \) (q); \( \mathrm{C} \rightarrow \) (q); \( \mathrm{D} \rightarrow \) (s)
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