The term independent of $x$ in the expansion of ${(1 + x)^n}{\left( {1 + \frac{1}{x}} \right)^n}$ is
The term independent of $x$ in the expansion of ${(1 + x)^n}{\left( {1 + \frac{1}{x}} \right)^n}$ is
- A
$C_0^2 + 2C_1^2 + .... + (n + 1)C_n^2$
- B
${({C_0} + {C_1} + .... + {C_n})^2}$
- C
$C_0^2 + C_1^2 + ..... + C_n^2$
- D
None of these
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If the co-efficient of $x^9$ in $\left(\alpha x^3+\frac{1}{\beta x}\right)^{11}$ and the co-efficient of $x^{-9}$ in $\left(\alpha x-\frac{1}{\beta x^3}\right)^{11}$ are equal, then $(\alpha \beta)^2$ is equal to $.............$.
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