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NVAMediumJEE Main 2025 · 22 January, Shift 2Applications of P&C

Mathematics Question from JEE Main 2025 · 22 January, Shift 2

If ∑r=130r2((30r))2(30r−1)=α×229,\sum_{r=1}^{30} \frac{r^2 \left( \binom{30}{r} \right)^2}{\binom{30}{r-1}} = \alpha \times 2^{29}, then α\alpha is equal to _____.

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