Match the following columns:
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{3}{|c|}{ Column-I } ....
Match the following columns:
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{3}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & \begin{tabular}{l}
The value of \( { }^{50} C_{10}+{ }^{49} C_{10} \) \\
\( +{ }^{48} C_{10}+\ldots .+{ }^{10} C_{10} \) is
\end{tabular} & (P) & \( { }^{54} C_{10} \) \\
\hline (B) & \begin{tabular}{l}
The value of \( { }^{50} C_{1}+{ }^{50} C_{2}+ \) \\
\\
\( { }^{50} C_{3}+\ldots .+{ }^{50} C_{49} \) is
\end{tabular} & (Q) & \( { }^{53} C_{10} \) \\
\hline (C) & \begin{tabular}{l}
The value of \( { }^{50} C_{10}+3 \cdot{ }^{50-} \) \\
\( C_{9}+3 \cdot{ }^{50} C_{8}+{ }^{50} C_{7} \) is
\end{tabular} & (R) & \( { }^{51} C_{11} \) \\
\hline (D) & \begin{tabular}{l}
The value of \( { }^{50} C_{10}+4 \cdot{ }^{50-} \) \\
\( C_{9}+6 \cdot{ }^{50} C_{8}+4 \cdot{ }^{50} C_{7}+{ }^{50} C_{6} \) \\
is
\end{tabular} & (S) & \( 2^{50}-2 \) \\
\hline & & (T) & \( 2^{50}-1 \) \\
\hline
\end{tabular}
(1) \( \mathrm{A} \rightarrow \mathrm{R} ; \mathrm{B} \rightarrow \mathrm{S} ; \mathrm{C} \rightarrow \mathrm{Q} ; \mathrm{D} \rightarrow \mathrm{P} \)
(2) \( \mathrm{A} \rightarrow \mathrm{Q} ; \mathrm{B} \rightarrow \mathrm{P} ; \mathrm{C} \rightarrow \mathrm{R} ; \mathrm{D} \rightarrow \mathrm{S} \)
(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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