JEE Mains · Maths · STD 11 - 7. binomial theoram
The coefficient of \(x^{4}\) is the expansion of \(\left(1+\mathrm{x}+\mathrm{x}^{2}\right)^{10}\) is
- A \(615\)
- B \(625\)
- C \(595\)
- D \(575\)
Answer & Solution
Correct Answer
(A) \(615\)
Step-by-step Solution
Detailed explanation
\(\left(1+x+x^{2}\right)^{10}\) \(=^{10} \mathrm{C}_{0}+^{10} \mathrm{C}_{1} \mathrm{x}(1+\mathrm{x})+^{10} \mathrm{C}_{2} \mathrm{x}^{2}(1+\mathrm{x})^{2}\)…
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