What is the number of integer solutions to the problem $$\sum_{i=1}^{i=k}x_i = n$$ subject to $\forall_i\ \ x_i \ge 0 $
note This should hold for both cases $k < n$ and $k \ge n$
2026-03-26 17:28:25.1774546105
Number of Integer solutions for this optimization problem
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This is given by the formula $$CC_k^n = {n+k-1 \choose n}$$