Coefficient of \[{{x}^{r}}\] in the expansion of \[{{(1-2x)}^{-1/2}}\] is [Kurukshetra CEE 2001]

\[\frac{(2r)!}{{{(r!)}^{2}}{{2}^{2r}}}\]

\[\frac{(2r)\,!}{{{(r\,!)}^{2}}}\]

\[\frac{(2r)\,!}{{{2}^{r}}{{(r!)}^{2}}}\]

\[\frac{(2r)!}{{{2}^{r}}.(r+1)!.(r-1)!}\]

Coefficient of \[{{x}^{r}}\] in the expansion of \[{{(1-2x)}^{-1/2}}\]

1.	Coefficient of \[{{x}^{r}}\] in the expansion of \[{{(1-2x)}^{-1/2}}\] is [Kurukshetra CEE 2001]
A.	\[\frac{(2r)\,!}{{{(r\,!)}^{2}}}\]
B.	\[\frac{(2r)\,!}{{{2}^{r}}{{(r!)}^{2}}}\]
C.	\[\frac{(2r)!}{{{(r!)}^{2}}{{2}^{2r}}}\]
D.	\[\frac{(2r)!}{{{2}^{r}}.(r+1)!.(r-1)!}\]
Answer» C. \[\frac{(2r)!}{{{(r!)}^{2}}{{2}^{2r}}}\]

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Coefficient of \[{{x}^{r}}\] in the expansion of \[{{(1-2x)}^{-1/2}}\] is [Kurukshetra CEE 2001]

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