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Question Number 31714 by gunawan last updated on 13/Mar/18

$$\mathrm{Prove}\mathrm{that}$$$$\underset{1}{\sum ^{n-2}}k\left(\begin{array}{c}n-2\\ k\end{array}\right)\left(\begin{array}{c}n+2\\ k+2\end{array}\right)=(n-2)\left(\begin{array}{c}2n-1\\ n-1\end{array}\right)$$

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