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Mathematics · 2024

JEE Main · 9 April 2024, Shift 1 · Q4

The coefficient of x^70 in x^2(1+x)^98+x^3(1+x)^97+x^4(1+x)^96+…+x^54(1+x)^46 is ^99 C_p -^46 C_q. Then a possible value of p + q is:

The coefficient of $\displaystyle x^{70}$ in $\displaystyle x^2(1+x)^{98}+x^3(1+x)^{97}+x^4(1+x)^{96}+\ldots+x^{54}(1+x)^{46}$ is $\displaystyle { }^{99} \mathrm{C}_{\mathrm{p}}-{ }^{46} \mathrm{C}_{\mathrm{q}}$. Then a possible value of $\displaystyle \mathrm{p}+\mathrm{q}$ is:
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.