Match the following columns:
\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{2}{|r|}{ Column-I } ....
Match the following columns:
\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{2}{|r|}{ Column-I } & \multicolumn{2}{|r|}{ Column-II } \\
\hline (A) & \begin{tabular}{l}
The sum of \( { }^{20} C_{0}+ \) \\
\( { }^{20} C_{1}+{ }^{20} C_{2}+\ldots .+ \) \\
\( { }^{20} C_{10} \) is
\end{tabular} & (P) & \( 1 / 2 \) \\
\hline (B) & \begin{tabular}{l}
The sum of \( { }^{20} C_{10}+ \) \\
\( { }^{20} C_{11}+{ }^{20} C_{12}+ \) \\
\( \ldots .+{ }^{20} C_{20} \) is
\end{tabular} & (Q) & \( { }^{21} C_{4}-{ }^{10} C_{4} \) \\
\hline (C) & \begin{tabular}{l}
The sum of \\
\( \frac{1}{2}{ }^{10} C_{0}-{ }^{10} C_{1}+2 \). \\
\( { }^{10} C_{2}-2^{2} \cdot{ }^{10} C_{3}+ \) \\
\( \ldots . .+2^{9} \cdot{ }^{10} C_{10} \) is
\end{tabular} & (R) & \( 2^{19}+\frac{1}{2}{ }^{20} C_{10} \) \\
\hline (D) & \begin{tabular}{l}
The sum of \( { }^{10} C_{3}+ \) \\
\( { }^{11} C_{3}+{ }^{12} C_{3}+\ldots \ldots+ \) \\
\( { }^{20} C_{3} \) is
\end{tabular} & (S) & \( 2^{19}-\frac{1}{2}{ }^{20} C_{10} \) \\
\hline
\end{tabular}
(1) \( \mathrm{A} \rightarrow \mathrm{S} ; \mathrm{B} \rightarrow \mathrm{P} ; \mathrm{C} \rightarrow \mathrm{R} ; \mathrm{D} \rightarrow \mathrm{Q} \)
(2) \( \mathrm{A} \rightarrow \mathrm{Q} ; \mathrm{B} \rightarrow \mathrm{S} ; \mathrm{C} \rightarrow \mathrm{P} ; \mathrm{D} \rightarrow \mathrm{R} \)
(3) \( \mathrm{A} \rightarrow \mathrm{R} ; \mathrm{B} \rightarrow \mathrm{R} ; \mathrm{C} \rightarrow \mathrm{P} ; \mathrm{D} \rightarrow \mathrm{Q} \)
(4) \( \mathrm{A} \rightarrow \mathrm{P} ; \mathrm{B} \rightarrow \mathrm{Q} ; \mathrm{C} \rightarrow \mathrm{R} ; \mathrm{D} \rightarrow \mathrm{S} \)
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