If the sum of the coefficients in the expansion of (a + b)n is 4096, then the greatest coefficient in the expansion is

We know that the sum of the coefficients in a binomial expansion is obtained by replacing each variable by ‘1’ in the given expression. Therefore, sum of the coefficients in (a + b)n is given by (1 + 1)n.∴ 4096=2nor 2n=212  or n=12Hence, n is even. So, the greatest coefficient is  nCn/2, i.e., 12C6=924.