If the sum of the coefficients in the expansion of ( x + y ) n is 4096 , then the greatest coefficient in…

Sum of coefficients of the expression $(x+y{)}^n$ is $2^n$

$2^n=4096=2^{12}$

$\Rightarrow n=12$ 

Now greatest binomial coefficient of the expression$(x+y{)}^n$ is the middle term's coefficient so ${}^{n}C_6={}^{12}C_6=924$