• 1. Basic Enumeration
• 2. Generating Functions
• 3. Sieve methods
• 4. Pólya’s Theory of Counting
• 5. Cayley’s Formula
• 6. Existence by Counting
• 7. Probabilistic Method
• 8. Extremal Graph Theory
• 9. Extremal set theory
• 10. Ramsey’s Theory
• 11. Matching Theory