The sum of the series\[^{20}{{C}_{0}}-{{\,}^{20}}{{C}_{1}}+{{\,}^{20}}{{C}_{2}}-{{\,}^{20}}{{C}_{3}}+....\] \[-....+{{\,}^{20}}{{C}_{10}}\] is

\[\frac{1}{2}{{\,}^{20}}{{C}_{10}}\]

The sum of the series\[^{20}{{C}_{0}}-{{\,}^{20}}{{C}_{1}}+{{\,}^{20}}

1.	The sum of the series\[^{20}{{C}_{0}}-{{\,}^{20}}{{C}_{1}}+{{\,}^{20}}{{C}_{2}}-{{\,}^{20}}{{C}_{3}}+....\] \[-....+{{\,}^{20}}{{C}_{10}}\] is
A.	0
B.	\[^{20}{{C}_{10}}\]
C.	\[{{-}^{20}}{{C}_{10}}\]
D.	\[\frac{1}{2}{{\,}^{20}}{{C}_{10}}\]
Answer» E.

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The sum of the series\[^{20}{{C}_{0}}-{{\,}^{20}}{{C}_{1}}+{{\,}^{20}}{{C}_{2}}-{{\,}^{20}}{{C}_{3}}+....\] \[-....+{{\,}^{20}}{{C}_{10}}\] is

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