Monday, 22 August 2016

proof writing - Sum of Binomial Coefficients?

Question: Trying to find a proof of the following equation.




For any m,nN0,
\sum_{k=0}^{m} \binom{n+k}{k} = \binom{n+m+1}{m}.



I know that Vandermonde's identity might be useful but not sure where to start.

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