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 binomialexpansion is obtained by replacing each variable by unit inthe given expression. Therefore, sum of the coefficients in(a + b)n is given by (1 + 1)n∴ 4096=2n or 2n=212 or n=12Hence, n is even. So, the greatest coefficient is  nCn/2 i.e.,  12C6=924