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# Lecture 24

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### Lecture 24

1. 1. Exercise – (34 - 2)
2. 2. Solution – (34 – 2a)
3. 3. Solution – (34 – 2c)
4. 4. Solution – (34 - 3)
5. 5. Solution – (34 – 3a)
6. 6. Inclusion-Exclusion for 3 Sets – (34 - 4)
7. 7. Inclusion-Exclusion Principle for 4 Sets – (34 – 4a)
8. 8. Exercise – (34 - 5)
9. 9. Exercise – (34 – 5a)
10. 10. Solution – (34 - 6)
11. 11. Solution – (34 – 6b)
12. 12. Solution – (34 – 6c)
13. 13. Solution – (34 - 7)
14. 14. Solution – (34 – 7b)
15. 15. Solution – (34 – 7a)
16. 16. Functions – (34 - 8)
17. 17. Functions – (34 – 8a)
18. 18. Pigeonhole – (34 - 9)
19. 19. Exercise – (34 - 11)
20. 20. Floor and Ceiling Functions – (34 - 17)
21. 21. Example – (34 - 18)
22. 22. Solution – (34 – 18a)