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@jemoka / Jemoka Knowledge Base / wiki/concepts/grouping.md
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--- title: "grouping" type: concept related: [Permutation, Grouping] source: https://www.jemoka.com/posts/kbhgrouping/ confidence: high status: active --- “Stuffing some stuff into buckets” How many ways are there to sort \(n\) distinct objects to \(r\) buckets? \begin{equation} r^{n} \end{equation} grouping with entirely indistinct objects You can simply reframe the grouping problem as permutation of the objects with \(r-1\) dividers along with your old \(n\) objects. i.e.: sort this thing — So: \begin{equation} \frac{(n+r-1)!}{n! (r-1)!} \end{equation}