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  • The sum of the coefficients in the expansion of  <img alt="(x+y)^n" src="https://entrancecorner.oncodecogs.com/gif.lat

The sum of the coefficients in the expansion of  (x+y)^nis 4096. The greatest coefficient in the expansion is

Option: 1

1024


Option: 2

924


Option: 3

824


Option: 4

724


Answers (1)

best_answer

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 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7}{1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6}=924

 

Posted by

himanshu.meshram

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