Lecture 24
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This document contains section headings and problem/solution numbers related to mathematical concepts including exercises, sets, functions, inclusion-exclusion principles, pigeonhole principles, and floor and ceiling functions. There are over 15 problems or examples presented spanning these topics with most having additional notation for specific parts or solutions of each problem.
Lecture 24
- 1. Exercise – (34 - 2)
- 2. Solution – (34 – 2a)
- 3. Solution – (34 – 2c)
- 4. Solution – (34 - 3)
- 5. Solution – (34 – 3a)
- 6. Inclusion-Exclusion for 3 Sets – (34 - 4)
- 7. Inclusion-Exclusion Principle for 4 Sets – (34 – 4a)
- 8. Exercise – (34 - 5)
- 9. Exercise – (34 – 5a)
- 10. Solution – (34 - 6)
- 11. Solution – (34 – 6b)
- 12. Solution – (34 – 6c)
- 13. Solution – (34 - 7)
- 14. Solution – (34 – 7b)
- 15. Solution – (34 – 7a)
- 16. Functions – (34 - 8)
- 17. Functions – (34 – 8a)
- 18. Pigeonhole – (34 - 9)
- 19. Exercise – (34 - 11)
- 20. Floor and Ceiling Functions – (34 - 17)
- 21. Example – (34 - 18)
- 22. Solution – (34 – 18a)