Schaum's outline of theory and problems of combinatorics

The Sum Rule and the Product Rule. Permutations and Combinations. The Pigeonhole Principle. Generalized Permutations and Combinations. Sequences and Selections. The Inclusion-Exclusion Principle. Generating Functions and Partitions of Integers. The Distribution Problem in Combinatorics. Recurrence Relations. Group Theory in Combinatorics - Including The Burnside-Froberius Theorem. Permutation Groups and Their Cycles Indices and Polya's Enumeration Theorems.