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1-p-k-n-show-that-k-p-n-C-k-1-p-1-C-n-p-please-i-need-help-




Question Number 107327 by pticantor last updated on 10/Aug/20
1≤p≤k≤n  show that Σ_(k=p) ^n C_(k−1) ^(p−1) =C_n ^p   please i need help
$$\mathrm{1}\leqslant{p}\leqslant{k}\leqslant{n} \\ $$$${show}\:{that}\:\underset{{k}={p}} {\overset{{n}} {\sum}}\boldsymbol{{C}}_{{k}−\mathrm{1}} ^{{p}−\mathrm{1}} =\boldsymbol{{C}}_{{n}} ^{{p}} \\ $$$${please}\:{i}\:{need}\:{help} \\ $$

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