JEE Mains · Maths · STD 11 - 7. binomial theoram
If the Coefficient of \(x^{30}\) in the expansion of \(\left(1+\frac{1}{x}\right)^6\left(1+x^2\right)^7\left(1-x^3\right)^8 ; x \neq 0\) is \(\alpha\), then \(|\alpha|\) equals
- A \(676\)
- B \(677\)
- C \(678\)
- D \(679\)
Answer & Solution
Correct Answer
(C) \(678\)
Step-by-step Solution
Detailed explanation
coeff of \(x^{30}\) in \(\frac{(x+1)^6\left(1+x^2\right)^7\left(1-x^3\right)^8}{x^6}\) coeff. of \(x^{36}\) in \((1+x)^6\left(1+x^2\right)^7\left(1-x^3\right)^8\) General term…
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