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Introduction to Combinatorics

  1. Given a Set of Distinct Objects/Type of Objects, Combinatorics is the study of
    1. Selection and/or Arrangment of the Set/Subset of the given Objects/Object Types. Each Different/Unique Selection is called a Combination. Each Different/Unique Arrangement is called a Permutation.
    2. Counting the Number of ways Selections and/or Arrangments can be made from the Set/Subset of the given Objects/Object Types (i.e. Number of Permutations and Combinations).
Related Topics and Calculators
Fundamental Principle of Counting, Concept of Factorial, Permutation and Combination,    Symmetry Independent Permutations Without Repeatition,    Combinations Without Repeatition,    Linear Symmetry Permutations Without Repeatition,    Circular Symmetry Permutations Without Repeatition,    Necklace Symmetry Permutations Without Repeatition,    Combinations With Repeatition,    Using Generating Functions to Find Combinations, Count of Combinations and Count of Linear Permutations,    Permutation Tables, Permutation Cycles and Transpositions,    Decomposition of Permutation/Permutation Cycles into Transpositions,    Product of Permutations, Permutation Cycles and Transpositions,    Inverse and Order of a Permutation,    Permutations and Permutation Matrices
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