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Last updated: 2023-05-10 05:18:34

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Menu Skip to primary content Home About me About this blog (FAQ) Appendices Complex Numbers Factorial! Sigma Notation Factorization diagrams License Post series Search The Math Less Traveled Explorations in mathematical beauty A few words about PWW #33: subset permutations My previous post showed four rows of diagrams, where the th row (counting from zero) has diagrams with dots. The diagrams in the th row depict all possible paths that start at the top left dot, end at the top right dot, and never visit any dot more than once. For a given diagram, we can choose which dots to visit (representing a subset of the dots), and we can visit the chosen dots in any order (a permutation ). I will call the resulting things “subset permutations”, although I don’t know if there is some other more accepted term for them. It’s not necessary to draw subset permutations as paths; it’s just one nice visual representation. If we number the dots from (excluding the top two, which are uninteresting),

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