JEE Mains · Maths · STD 11 - 7. binomial theoram
The coefficient of \(x^{18}\) in the product \((1+ x)(1- x)^{10} (1+ x + x^2 )^9\) is
- A \(84\)
- B \(126\)
- C \(-126\)
- D \(-84\)
Answer & Solution
Correct Answer
(A) \(84\)
Step-by-step Solution
Detailed explanation
\((1+x)(1-x)^{10}\left(1+x+x^{2}\right)^{9}\) \(\left(1-x^{2}\right)\left(1-x^{3}\right)^{9}\) \(^{9} \mathrm{C}_{6}=84\)
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