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Mathematics · 2024

JEE Main · 29 January 2024, Shift 1 · Q23

If (^11 C_1)/2+(^11 C_2)/3+…+(^11 C_9)/10=n/m with gcd (n, m)=1, then n+m is equal to ____.

If $\displaystyle \frac{{ }^{11} C_1}{2}+\frac{{ }^{11} C_2}{3}+\ldots+\frac{{ }^{11} C_9}{10}=\frac{n}{m}$ with $\displaystyle \operatorname{gcd}(n, m)=1$, then $\displaystyle n+m$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.