First slide

Binomial theorem for positive integral Index

Question

$The sum of the coefficient of (x + y)^{n} is 1024, Then greatest coefficient is$

Easy

A

${}^{10}C_{4}$
B

${}^{12}C_{6}$
C

${}^{10}C_{5}$
D

${}^{12}C_{5}$

Solution

$Sum of the coefficients of (x + y)^{n} is 1024$
$\Rightarrow 2^{n} = 1024 = 2^{10}$
n = 10
$∴ Greatest coefficient = Middle term = {}^{10}C_{5}$

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