$\begin{array}{1 1}(A)\;1594\\(B)\;792\\(C)\;924\\(D)\;2924\end{array} $

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Sum of coefficients =4096

$\therefore (a+b)^n$ when a,b are each 1=4096

$\Rightarrow (1+1)^n=4096=2^{12}$

$\Rightarrow n=12$

Hence n is even

$\Rightarrow$ Greatest coefficient

$\Rightarrow nC_{n/2}=12C_6$

$\Rightarrow \large\frac{12!}{6!6!}$

$\Rightarrow 924$

Hence (C) is the correct answer.

Why 'a' and 'b' should reach '1' in order to determine 'n'?

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