JEE Math Practice Question
If $$\sum\limits_{k = 1}^{31} {\left( {{}^{31}{C_k}} \right)\left( {{}^{31}{C_{k - 1}}} \right) - \sum\limits_{k = 1}^{30} {\left( {{}^{30}{C_k}} \right)\left( {{}^{30}{C_{k - 1}}} \right) = {{\alpha (60!)} \over {(30!)(31!)}}} } $$, 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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