If $\left({ }^{30} C _1\right)^2+2\left({ }^{30} C _2\right)^2+3\left({ }^{30} C _3\right)^2+\ldots . .+30\left({ }^{30} C _{30}\right)^2$ $=\frac{\alpha \cdot 60 !}{(30 !)^2}$, then $\alpha$ is equal to

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If \(\left({ }^{30} C _1\right)^2+2\left({ }^{30} C _2\right)^2+3\left({ }^{30} C _3\right)^2+\ldots . .+30\left({ }^{30…

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