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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

$\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} $

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A)
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Total professors =10
Total lecturers =20
No of ways to include a particular professor is $=9C_1\times 20C_3$
Hence (A) is the correct answer.
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