The sum Σ(10 i) (20 m-i) ; i=1, m, where (p q) = 0 if p > q, is maximum when m is

Question

The sum \(\sum\limits_{i=1}^m \begin{pmatrix}10\\i\end{pmatrix} \begin{pmatrix}20\\m-i\end{pmatrix}\), where \( \begin{pmatrix}p\\q\end{pmatrix}=0\) if p > q, is maximum when m is

a. 5

b. 10

c. 15

d. 20

Answer 1

Correct option is c. 15