AMC / AIME · Stars and Bars · Easy
Stars and Bars: Distribute math identical balls into math distinct bins (empty bins allowed). How many ways?
Integer solutions to linear equations.
Try the problem
Distribute identical balls into distinct bins (empty bins allowed). How many ways?
Hint and answer
Concept to use
Nonnegative: $\binom{n+k-1}{k-1}$.
Hint
Nonnegative solutions to sum in variables.
Answer
56
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