Prove the following identity: _n k=0 _ n k _ m n n k = _ m
Chapter , Problem 34(choose chapter or problem)
Prove the following identity:
\(\sum_{k=0}^{n}\left(\begin{array}{l} n \\ k \end{array}\right)\left(\begin{array}{c} m-n \\ n-k \end{array}\right)=\left(\begin{array}{c} m \\n\end{array}\right)\)
(Hint:Howcan each of the summands be interpreted?)
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