If [math] then [math] is equal to - Mathematics

Mathematics Binomial Theorem Medium JEE Advanced

Question #24

If $\binom{30}{1}^{2}+2\binom{30}{2}^{2}+3\binom{30}{3}^{2}+...+30\binom{30}{30}^{2}=\frac{\alpha(60!)}{(30!)^{2}}$ then $\alpha$ is equal to

Choose the correct answer

A 30 B 60 C 15 D 10

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