This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.In order to use Burnsidea#39;s lemma we have to find how many markings each of the rotations or flips leaves unchanged. ... *(viii) In how many ways can one color the faces of a dodecahedron (a regular polyhedron with 12 faces) with two colors?
|Title||:||Counting and Configurations|
|Author||:||Jiri Herman, Radan Kucera, Jaromir Simsa|
|Publisher||:||Springer Science & Business Media - 2013-03-14|