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Binomial Theorem: JEE Mains 2022, June 28 - Shift 1

Hard· Properties of binomial coefficients· +4 / −1

If

\displaystyle\sum_{k=1}^{31}{}^{31}C_k\,{}^{31}C_{k-1}+\sum_{k=1}^{30}{}^{30}C_k\,{}^{30}C_{k-1}=\frac{\alpha\times60!}{30!\times30!}

, then

16\alpha

is equal to :

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