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Binomial Theorem question

2025 · 22 Jan · Shift 2 · Q48

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2025 · 22 Jan · Shift 2 · Q48

Binomial Theorem question

2025 · 22 Jan · Shift 2 · Q48

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

If

\sum_{r=1}^{30} \frac{r^2\left({ }^{30} C_r\right)^2}{{ }^{30} C_{r-1}}=\alpha \times 2^{29}

, then

\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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