The value of \( n \) if \begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ Column-I } & \mu....

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The value of \( n \) if
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & \( { }^{n+4} C_{n+1}-{ }^{n+3} C_{n}=15(n+2) \) & \( (\mathrm{P}) \) & 6 \\
\hline (B) & \( (11)^{n} P_{4}=(20)\left({ }^{n-2} P_{4}\right) \) & (Q) & 10 \\
\hline (C) & \( { }^{2 n} C_{3}=11{ }^{n} C_{3} \) & (R) & 16 \\
\hline (D) & \( { }^{14} C_{n-2},{ }^{14} C_{n-1},{ }^{14} C_{n} \) are in A.P. & (S) & 27 \\
\hline
\end{tabular}
(1) \( \mathrm{A} \rightarrow \mathrm{S} ; \mathrm{B} \rightarrow \mathrm{R} ; \mathrm{C} \rightarrow \mathrm{P} ; \mathrm{D} \rightarrow \mathrm{P}, \mathrm{Q} \)
(2) \( \mathrm{A} \rightarrow \mathrm{R} ; \mathrm{B} \rightarrow \mathrm{S} ; \mathrm{C} \rightarrow \mathrm{P} ; \mathrm{D} \rightarrow \mathrm{Q} \)
(3) \( \mathrm{A} \rightarrow \mathrm{R} ; \mathrm{B} \rightarrow \mathrm{P} ; \mathrm{C} \rightarrow \mathrm{Q} ; \mathrm{D} \rightarrow \mathrm{S} \)
(4) \( \mathrm{A} \rightarrow \mathrm{S} ; \mathrm{B} \rightarrow \mathrm{R} ; \mathrm{C} \rightarrow \mathrm{P} ; \mathrm{D} \rightarrow \mathrm{Q} \)


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