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

Question

Aicharya · Accepted Answer

We have $2^n=4096=2^{12} \Rightarrow n=12$; So middle term $=t_7 ; t_7=t_{6+1}={ }^{12} C_6=\frac{12 !}{6 ! 6 !}=924$

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