Solve this:

​Q8. The coefficient of x⁵³ in the following expansions $\sum _{\mathrm{in} =0}^{100}{100}_{{\mathrm{C}}_{\mathrm{n}}}{\left(\mathrm{x}-3\right)}^{100 \mathrm{m}} .2^{\mathrm{m}}$ is 

                $$\begin{gathered} \left(\mathrm{a}\right) {100}_{{\mathrm{C}}_{47}} \left(\mathrm{b}\right) {100}_{{\mathrm{C}}_{53}} \\ \left(\mathrm{c}\right) -{100}_{\mathrm{C}53} \left(\mathrm{d}\right) -{100}_{{\mathrm{C}}_{100}} \end{gathered}$$