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Mathematics · 2022

JEE Main · 26 June 2022, Shift 2 · Q26

If (^40 C_0)+(^41 C_1)+(^42 C_2)+….+(^60 C_20)=m/n^60 C_20 m and n are coprime, then m+n is equal to \ \ \ \.

If $\displaystyle \left({ }^{40} C_0\right)+\left({ }^{41} C_1\right)+\left({ }^{42} C_2\right)+\ldots .+\left({ }^{60} C_{20}\right)=\frac{m}{n}{ }^{60} C_{20} m$ and $\displaystyle n$ are coprime, then $\displaystyle m+n$ is equal to \_\_\_\_.
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.