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Mathematics · 2021

JEE Main · 26 August 2021, Shift 1 · Q87

If ^1 P_1+2 ·^2 P_2+3 ·^3 P_3+…+15 ·^15 P_15=^q P_r-s, 0 ≤ s ≤ 1, then ^q+s C_r-s is equal to \ \ \ \

If $\displaystyle { }^1 P_1+2 \cdot{ }^2 P_2+3 \cdot{ }^3 P_3+\ldots+15 \cdot{ }^{15} P_{15}={ }^q P_r-s, 0 \leq s \leq 1$, then $\displaystyle { }^{q+s} C_{r-s}$ is equal to \_\_\_\_
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.