Stars and Bars
From charlesreid1
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:
Flags
 |
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)
|