Binomials!

Discrete Mathematics Level 3

∑j=lmC(j,l) \large \sum_{j=l}^m C(j,l)

Let C(j,l)C(j,l) denote the binomial coefficient, j!l!(j−l)!\frac{j!}{l!(j-l)!} . For integers m≥l≥0m\geq l \geq 0 , what is the value of the summation above?

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Karthik Venkata by Karthik Venkata
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