The coefficient of $a^{-6}b^4$ in the expansion of $\big(\large\frac{1}{a}-\frac{2b}{3}\big)^{10}$ is

Question

$\begin{array}{1 1}(A)\;\large\frac{1120}{9}\\(B)\;\large\frac{1140}{4}\\(C)\;\large\frac{1120}{27}\\(D)\;\large\frac{1139}{27}\end{array} $