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- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/01%3A_Basics/1.05%3A_Combinatorics-_First_CountsThis page introduces combinatorics, focusing on counting and key terms like "alphabet," "string," and "permutation." It defines "string" as an ordered set of characters and explains "permutation" as a...This page introduces combinatorics, focusing on counting and key terms like "alphabet," "string," and "permutation." It defines "string" as an ordered set of characters and explains "permutation" as any arrangement of those characters. The text provides examples and includes practice checkpoints for generating strings and permutations of varying lengths and characters.
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/05%3A_Graph_Theory/5.01%3A_Discovering_GraphsThis page explains how to define graphs through various properties, using examples and checkpoints to distinguish valid graph formations from invalid ones. It employs set notation and prompts readers ...This page explains how to define graphs through various properties, using examples and checkpoints to distinguish valid graph formations from invalid ones. It employs set notation and prompts readers to analyze necessary and forbidden properties of graphs, facilitating a translation between set forms and diagrams.
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/01%3A_Basics/1.06%3A_Sorting-_Part_0This page discusses lexicographic ordering, which arranges strings alphabetically. It includes exercises using the string "mat" to list permutations in this order, determines the total permutations fo...This page discusses lexicographic ordering, which arranges strings alphabetically. It includes exercises using the string "mat" to list permutations in this order, determines the total permutations for "mat" and "math," and analyzes how the number of arrangements increases with string length.