There are 10 professors and 20 lecturers out of whom a committee of 2 professors and 3 lecturer is to be formed.Find In how many ways a particular professor is included

Question

$\begin{array}{1 1}(A)\;9C_1\times 20C_3\\(B)\;8C_1\times 20C_3\\(C)\;7C_1\times 19C_3\\(D)\;\text{None of these}\end{array}$