First slide

Binomial theorem for positive integral Index

Question

$The sum of the coefficient of (x + y)^{n} is 512 then greatest coefficient is$

Moderate

A

125
B

126
C

250
D

128

Solution

$Sum of the coefficient of (x + y)^{n} is 512$
$\Rightarrow 2^{n} = 512 = 2^{9}$
n = 9
$∴ Greatest coefficient = Middle term = {}^{n}C_{\frac{n - 1}{2}} (or) {}^{n}C_{\frac{n + 1}{2}}$
$= {}^{9}C_{\frac{9 - 1}{2}} = {}^{9}C_{4} = 126$

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