The sum of coefficients of the last six terms in the expansion of ( 1 + x ) 11 is Options: A . &nbsp 256 B . &nbsp 512 C . &nbsp 1024 D . &nbsp 2048

The sum of coefficients of the last six terms in the expansion of (1+x)11 is

Question

The sum of coefficients of the last six terms in the expansion of $(1 + x)^{11}$ is

Options:

A . 256

B . 512

C . 1024

D . 2048

Answer: Option C
:
C

The coefficients of the last six terms of $(1 + x)^{11}$ are
$^{11} C_{0},^{11} C_{1},^{11} C_{2} . . . .^{11} C_{5}$

$S u m =^{11} C_{0} +^{11} C_{1} +^{11} C_{2} +^{11} C_{3} +^{11} C_{4} +^{11} C_{5} = 1 + 11 + 55 + 165 + 330 + 462 = 1024$

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