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Index
Cover
Halftitle
Title
Copyright
Preface
Contents
Notation and Abbreviation
Pólya’s Model of Problem Solving
1. The Addition Principle
2. The Multiplication Principle
3. Subsets and Arrangements
4. Applications
5. The Bijection Principle
6. Distribution of Balls into Boxes
7. More Applications of (BP)
8. Distribution of Distinct Objects into Distinct Boxes
9. Other Variations of the Distribution Problem
10. The Binomial Expansion
11. Some Useful Identities
12. Pascal’s Triangle
13. The Principle of Inclusion and Exclusion
14. General Statement of the Principle of Inclusion and Exclusion
15. The Pigeonhole Principle
16. Recurrence Relations
17. The Stirling Numbers of the First Kind
18. The Stirling Numbers of the Second Kind
19. The Catalan Numbers
20. Solutions to Miscellaneous Problems
Recommended Books for Further Reading
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