The coefficient of $x^{10}$ in the expansion of $(1 + x)^2 (1 + x^2)^3 ( 1 + x^3)^4$ is euqal to
$52$
$44$
$50$
$56$
The term independent of $x$ in ${\left( {\sqrt x - \frac{2}{x}} \right)^{18}}$ is
${16^{th}}$ term in the expansion of ${(\sqrt x - \sqrt y )^{17}}$ is
The coefficient of ${x^5}$ in the expansion of ${(x + 3)^6}$ is
The sum of the real values of $x$ for which the middle term in the binomial expansion of ${\left( {\frac{{{x^3}}}{3} + \frac{3}{x}} \right)^8}$ equals $5670$ is
The coefficient of $\frac{1}{x}$ in the expansion of ${\left( {1 + x} \right)^n}{\left( {1 + \frac{1}{x}} \right)^n}$ is :-