The coefficient of \[{{x}^{n}}\] in the expansion of \[{{(1-2x+3{{x}^{2}}-4{{x}^{3}}+.....)}^{-n}}\]is

\[\frac{1}{2}\frac{(2n)!}{{{(n!)}^{2}}}\]

The coefficient of \[{{x}^{n}}\] in the expansion of \[{{(1-2x+3{{x}^{

1.	The coefficient of \[{{x}^{n}}\] in the expansion of \[{{(1-2x+3{{x}^{2}}-4{{x}^{3}}+.....)}^{-n}}\]is
A.	\[\frac{(2n)!}{n!}\]
B.	\[\frac{(2n)!}{{{(n!)}^{2}}}\]
C.	\[\frac{1}{2}\frac{(2n)!}{{{(n!)}^{2}}}\]
D.	None of these
Answer» C. \[\frac{1}{2}\frac{(2n)!}{{{(n!)}^{2}}}\]

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The coefficient of \[{{x}^{n}}\] in the expansion of \[{{(1-2x+3{{x}^{2}}-4{{x}^{3}}+.....)}^{-n}}\]is

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