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Jul 21, 2020 at 9:39 comment added xskxzr @VK It's a corollary of $\binom{n}{k}+\binom{n}{k+1}=\binom{n+1}{k+1}$: $\binom{k}{k}+\binom{k+1}{k}+\cdots=\binom{k+1}{k+1}+\binom{k+1}{k}+\cdots=\binom{k+2}{k+1}+\binom{k+2}{k}+\cdots=\binom{k+3}{k+1}+\binom{k+3}{k}+\cdots=\cdots=\binom{n+1}{k+1}$.
Jul 20, 2020 at 4:17 comment added V K $$\sum_{r=k}^{n}\binom{r}{k}=\binom{n+1}{k+1}$$ . Is this some property of combinatorics?
May 1, 2018 at 9:11 vote accept hengxin
Apr 28, 2018 at 13:39 history edited xskxzr CC BY-SA 3.0
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Apr 28, 2018 at 7:15 history answered xskxzr CC BY-SA 3.0