The value of \[^{20}{{C}_{0}}+{{\,}^{20}}{{C}_{1}}+{{\,}^{20}}{{C}_{2}}+{{\,}^{20}}{{C}_{3}}+{{\,}^{20}}{{C}_{4}}\]\[+{{\,}^{20}}{{C}_{12}}+{{\,}^{20}}{{C}_{13}}+{{\,}^{20}}{{C}_{14}}+{{\,}^{20}}{{C}_{15}}\] is

\[{{2}^{19}}-\frac{^{20}{{C}_{10}}}{2}\]

\[{{2}^{19}}-\frac{\left( ^{20}{{C}_{10}}+{{\,}^{20}}{{C}_{9}} \right)}{2}\]

\[{{2}^{19}}-\frac{\left( ^{20}{{C}_{10}}+\,2{{\times }^{20}}{{C}_{9}} \right)}{2}\]

The value of \[^{20}{{C}_{0}}+{{\,}^{20}}{{C}_{1}}+{{\,}^{20}}{{C}_{2}

1.	The value of \[^{20}{{C}_{0}}+{{\,}^{20}}{{C}_{1}}+{{\,}^{20}}{{C}_{2}}+{{\,}^{20}}{{C}_{3}}+{{\,}^{20}}{{C}_{4}}\]\[+{{\,}^{20}}{{C}_{12}}+{{\,}^{20}}{{C}_{13}}+{{\,}^{20}}{{C}_{14}}+{{\,}^{20}}{{C}_{15}}\] is
A.	\[{{2}^{19}}-\frac{\left( ^{20}{{C}_{10}}+{{\,}^{20}}{{C}_{9}} \right)}{2}\]
B.	\[{{2}^{19}}-\frac{\left( ^{20}{{C}_{10}}+\,2{{\times }^{20}}{{C}_{9}} \right)}{2}\]
C.	\[{{2}^{19}}-\frac{^{20}{{C}_{10}}}{2}\]
D.	None of these
Answer» C. \[{{2}^{19}}-\frac{^{20}{{C}_{10}}}{2}\]

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The value of \[^{20}{{C}_{0}}+{{\,}^{20}}{{C}_{1}}+{{\,}^{20}}{{C}_{2}}+{{\,}^{20}}{{C}_{3}}+{{\,}^{20}}{{C}_{4}}\]\[+{{\,}^{20}}{{C}_{12}}+{{\,}^{20}}{{C}_{13}}+{{\,}^{20}}{{C}_{14}}+{{\,}^{20}}{{C}_{15}}\] is

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