\[\text { If } \sum_{k=1}^{31}\left({ }^{31} C_k\right)\left({ }^{31} C_{k-1}\right)-\sum_{k=1}^....

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\[\text { If } \sum_{k=1}^{31}\left({ }^{31} C_k\right)\left({ }^{31} C_{k-1}\right)-\sum_{k=1}^{30}\left({ }^{30} C_k\right)\left({ }^{30} C_{k-1}\right)=\frac{\alpha(60 !)}{(30 !)(31 !)} \text {, }\]where \(\alpha \in R\), then the value of \(16 \alpha\) is equal to ๐Ÿ“ฒPW App Link - https://bit.ly/YTAI_PWAP ๐ŸŒPW Website - https://www.pw.live



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