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Mathematics · 2024

JEE Main · 1 February 2024, Shift 1 · Q23

If the Coefficient of x^30 in the expansion of (1+1/x)^6(1+x^2)^7(1-x^3)^8; x ≠ 0 is α, then |α| equals ____.

If the Coefficient of $\displaystyle x^{30}$ in the expansion of $\displaystyle \left(1+\frac{1}{x}\right)^6\left(1+x^2\right)^7\left(1-x^3\right)^8 ; x \neq 0$ is $\displaystyle \alpha$, then $\displaystyle |\alpha|$ equals $\displaystyle \_\_\_\_$.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.