Mathematical games, puzzles, and contest problems invite a playful spirit of exploration. Quite often, these entertaining and challenging problems are drawn from the fascinating mathematical realm of Combinatorics. This volume is designed to engage those who enjoy playing with mathematics, whether they be teachers, students, or armchair mathematical enthusiasts.
Combinatorial Explorations contains an introduction to Combinatorics through the analysis of three core problems: Handshakes, Routes, and Checkerboards. Each chapter features one of these problems as a springboard for mathematical problem solving. Problem sets, extensions, novel twists, and the inclusion of open-ended investigations offer means through which readers can delve deeper into the mathematics.