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Combinatorics Games
Abstract
This chapter examines combinatorial games, analyzing how decisions and strategies are based on the combination of different options. Combinatorial games involve creating and manipulating combinations of cards, tokens, or pieces on a board. These games focus on the organization and arrangement of available objects. Combinatorial games have a long history and are significant from both a research and educational perspective, introducing fundamental concepts such as combinations, permutations, and arrangements in a practical and accessible context. For example, in poker, players combine their cards to create the best possible hand, using combinatorics to determine probabilities. In chess, the Eight Queens Problem is a famous example of a combinatorial problem that requires placing eight queens on an 8x8 board so no queen can attack another. Other combinatorial games include Sudoku, Tower of Hanoi, and Rubik's Cube.
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