Scoops with repetition

An ice-cream shop has 55 flavors. How many ways are there to choose 33 scoops if repeats are allowed and order doesn't matter?

Show hints (2)+
  1. Repeats allowed, order irrelevant ⇒ multiset count.
  2. $\binom{n+k-1}{k}$ with $n=5$, $k=3$.

Answer

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35

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Asked at: Optiver, IMC

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