JEE Mains · Maths · STD 11 - 7. binomial theoram
The coefficient of \(x ^7\) in \(\left(1-x+2 x^3\right)^{10}\) is \(........\).
- A \(960\)
- B \(950\)
- C \(940\)
- D \(960\)
Answer & Solution
Correct Answer
(D) \(960\)
Step-by-step Solution
Detailed explanation
\(\text { General term }=\frac{10 !}{r_{1} ! \cdot r_{2} ! \cdot r_{3} !}(-1)^{r_2} \cdot(2)^{r_3} x^{r_2+3 r_3}\) where \(r_1+r_2+r_3=10\) and \(r_2+3 r_3=7\) \(\begin{array}{lll}r_1 & r_2 & r_3 \\ 3 & 7 & 0 \\ 5 & 4 & 1 \\ 7 & 1 & 2\end{array}\) Required coefficient…
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