If \( \sum_{k=1}^{31}\left({ }^{31} C_{k}\right)\left({ }^{31} C_{k-1}\right)-\sum_{k=1}^{30}\le...
If \( \sum_{k=1}^{31}\left({ }^{31} C_{k}\right)\left({ }^{31} C_{k-1}\right)-\sum_{k=1}^{30}\left({ }^{30} C_{k}\right)\left({ }^{30} C_{k-1}\right) \)
\( =\frac{\alpha(60 !)}{(30 !)(31 !)} \), where \( \alpha \in R \), then the value of \( 16 \alpha \) is equal
to
\( -(a) 1411 \)
(b) 1320
(c) 1615
(d) 1855
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