Binomial Theorem And Its Simple Applications Question 107
Question: The sum of the coefficients in the expansion of $ {{(x+y)}^{n}} $ is 4096. The greatest coefficient in the expansion is
[Kurukshetra CEE 1998; AIEEE 2002]
Options:
A) 1024
B) 924
C) 824
D) 724
Show Answer
Answer:
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 $ .
BETA
