First slide

Combinations

Question

The sum $\sum_{i = 0}^{m} (\begin{matrix} 10 \\ i \end{matrix}) (\begin{matrix} 20 \\ m - i \end{matrix})$ is maximum when m is

Easy

A

5
B

10
C

15
D

20

Solution

$\sum_{i = 0}^{m} (\begin{matrix} 10 \\ i \end{matrix}) (\begin{matrix} 20 \\ m - i \end{matrix})$ $=^{10} c_{0} .^{20} c_{m} +^{10} c_{1} .^{20} c_{m - 1} + - - - +^{10} c_{m} .^{20} c_{0}$
= $^{30} c_{m}$ which is maximum , when m $= 15$
$(C (n, r) m a x i m u m v a l u e i s C (n, \frac{n}{2}), i f n i s e v e n)$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App