Question

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

• A. 1594
• B. 792
• C. 924
• D. 2924

Answer 1

Answer: (C)

924

Answer 2

We have $2^n = 4096 = 2^{12 } \, \Rightarrow \, n = 12;$ the greatest coeff = coeff of middle term. So middle term $= t_7 , ; t_7 = t_{6+1}$ $\Rightarrow \,$ coeff of $t_7 = {^{12}C_{6}} = \frac{12!}{6! 6!} = 924$.