JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002If ∑r=19(r+32)Cr=α(32)9−β\sum_{r=1}^9 \binom{r+3}{2} C_r = \alpha\bigl(\tfrac{3}{2}\bigr)^9 - \beta∑r=19(2r+3)Cr=α(23)9−β, where α,β∈N\alpha,\beta\in\mathbb{N}α,β∈N, then (α+β)2(\alpha+\beta)^2(α+β)2 is equal to:AOption A. 27BOption B. 9COption C. 81DOption D. 18CheckStep-by-step hintSkip · show solution
