Stars and Bars: Difference between revisions
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Latest revision as of 09:01, 9 March 2019
Formula
Stars and Bars is a combinatoric method of partitioning n items (stars) into k partitions, using k-1 partition-markers (bars).
This is an extremely useful formula, as it can help enumerate the number of ways of partitioning a group of items.
The number of ways of partitioning n objects into k partitions using k-1 bars is given by:
$ \binom{n+k-1}{k-1} $
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Combinatorics
Combinatorial Structures - Order Does Not Matter Ordinary generating functions
Labelled Structures - Order Matters Enumerating Permutations: String Permutations Generating Permutations: Cool · Algorithm M (add-one) · Algorithm G (Gray binary code)
Combinatorics Problems Longest Increasing Subsequence · Maximum Value Contiguous Subsequence · Racing Gems Cards (poker hands with a deck of 52 playing cards)
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