Counting

This book is the essential companion to Counting (2nd Edition) (World Scientific, 2013), an introduction to combinatorics for secondary to undergraduate students. The book gives solutions to the exercises in Counting (2nd Edition). There is often more than one method to solve a particular problem and the authors have included alternative solutions whenever they are of interest.

The rigorous and clear solutions will aid the reader in further understanding the concepts and applications in Counting (2nd Edition). An introductory section on problem solving as described by George Pólya will be useful in helping the lay person understand how mathematicians think and solve problems.
Contents:The Addition PrincipleThe Multiplication PrincipleSubsets and ArrangementsApplicationsThe Bijection PrincipleDistribution of Balls into BoxesMore Applications of (BP)Distribution of Distinct Objects into Distinct BoxesOther Variations of the Distribution ProblemThe Binomial ExpansionSome Useful IdentitiesPascal's TriangleThe Principle of Inclusion and ExclusionGeneral Statement of the Principle of Inclusion and ExclusionThe Pigeonhole PrincipleRecurrence RelationsThe Stirling Numbers of the First KindThe Stirling Numbers of the Second KindThe Catalan NumbersSolutions to Miscellaneous Problems
Readership: College students and teachers in combinatorics.