The coefficient of \( x^{r} \) in the expression of \( (1-2 x)^{-1 ...
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The coefficient of \( x^{r} \) in the expression of \( (1-2 x)^{-1 / 2} \) is
(1) \( \frac{(2 r) !}{(r !)^{2}} \)
(2) \( \frac{(2 r) !}{2^{r}(r !)^{2}} \)
(3) \( \frac{(2 r) !}{(r !)^{2} 2^{2 r}} \)
(4) \( \frac{(2 r) !}{2^{r}(r+1) !(r-1) !} \)
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