Question

If the sum of the coefficients in the expansion of $(x+y{)}^n$ is 8192, then the greatest coefficient in the expansion is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Put x = y = 1 , then $2^n$ = 8192 $\Rightarrow$ n = 13

$\therefore$ greatest coefficient = ${}^{13}{C}_6$