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 lecturer is included

Question

$\begin{array}{1 1}(A)\;10C_2\times 19C_2\\(B)\;9C_2\times 9C_3\\(C)\;7C_2\times 19C_3\\(D)\;\text{None of these}\end{array} $