Question

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

• A. 256
• B. 512
• C. 1024
• D. 2048

Answer 1

The correct option is C

1024

The coefficients of the last six terms of $(1+x{)}^{11}$ are
${}^{11}{C}_0{,}^{11}{C}_1{,}^{11}{C}_2...{.}^{11}{C}_5$

$Sum{=}^{11}{C}_0{+}^{11}{C}_1{+}^{11}{C}_2{+}^{11}{C}_3{+}^{11}{C}_4{+}^{11}{C}_5=1+11+55+165+330+462=1024$