Is there some combinatorial identity or formula for the following sum?
$$ \sum_{i = 0}^{k} \dbinom{n}{i}$$
All I could find on the internet was for $$\sum_{i = 0}^{n} \dbinom{n}{i}$$
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1Nothing particularly nice. this question includes some bounds. As does this question – lulu Jan 14 '24 at 20:52