A) 1024
B) 924
C) 824
D) 724
Correct Answer: B
Solution :
By hypothesis, \[{{2}^{n}}=4096={{2}^{12}}\Rightarrow n=12\] Since n is even, hence greatest coefficient \[={{\,}^{n}}{{C}_{n/2}}={{\,}^{12}}{{C}_{6}}=\frac{12.11.10.9.8.7}{1.2.3.4.5.6}=924\].
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