Class 11MathematicsBinomial TheoremGeneral term, Coefficient of any power of x, Independent term, Middle term and Greatest term and Greatest coefficient
DifficultThe coefficient of $x^n$ in the expansion of $(1 - 2x + 3x^2 - 4x^3 + \dots)^{-n}$ is
- A$\frac{(2n)!}{n!}$
- B$\frac{(2n)!}{(n!)^2}$
- C$\frac{1}{2} \frac{(2n)!}{(n!)^2}$
- DNone of these
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DifficultJEE MAIN 2013
View SolutionThe number of positive integers $k$ such that the constant term in the binomial expansion of $\left(2x^3 + \frac{3}{x^k}\right)^{12}, x \neq 0$ is $2^8 \cdot \ell$,where $\ell$ is an odd integer,is:
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