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Question Number 31946 by gunawan last updated on 17/Mar/18

Calculate Σ_(j≤k≤i)  (−1)^k  ((i),(k) ) ((k),(j) )

$$\mathrm{Calculate}\:\underset{{j}\leqslant{k}\leqslant{i}} {\Sigma}\:\left(−\mathrm{1}\right)^{{k}} \begin{pmatrix}{{i}}\\{{k}}\end{pmatrix}\begin{pmatrix}{{k}}\\{{j}}\end{pmatrix} \\ $$

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