JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)If ∑r=130r3(30Cr)230Cr−1=α×229\sum_{r=1}^{30} \frac{r^3 (^{30}C_r)^2}{^{30}C_{r-1}} = \alpha \times 2^{29}∑r=13030Cr−1r3(30Cr)2=α×229, then α\alphaα is equal to:Your answerInteger or decimalCheckStep-by-step hintSkip · show solution