let give (n,p) from N^2 and 1≤p≤n prove that Σ_(k=0) ^p C_n ^k C_(n−k) ^(p−k) ==2^p C


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Question Number 29163 by abdo imad last updated on 04/Feb/18

$l e t g i v e (n, p) f r o m N^{2} a n d 1 ⩽ p ⩽ n p r o v e t h a t$ $\sum_{k = 0}^{p} C_{n}^{k} C_{n - k}^{p - k} == 2^{p} C_{n}^{p} .$
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