Combinatorial Analysis

Abstract

In this chapter, the basics of combinatorial analysis including the basic principle of counting, generalized basic principle of counting, permutation with repetition and without repetition, and combination with sequence consideration and without sequence consideration have been provided. The distribution of a set of elements into distinct groups and into indistinct groups has also been defined as a special application of the combination without sequence consideration. Some exercises throughout the chapter and problems at the end of the chapter have been provided to clarify the basic concepts. Some problems have also been presented to make connections to some well-known engineering problems such as traveling salesperson (salesman) problem, 0–1 knapsack problem , and job scheduling problem .