lecture 24

22
Exercise – (34 - 2)

Upload: faisal-mehmood

Post on 20-Jun-2015

245 views

Category:

Education


2 download

TRANSCRIPT

Page 1: Lecture 24

Exercise – (34 - 2)

Page 2: Lecture 24

Solution – (34 – 2a)

Page 3: Lecture 24

Solution – (34 – 2c)

Page 4: Lecture 24

Solution – (34 - 3)

Page 5: Lecture 24

Solution – (34 – 3a)

Page 6: Lecture 24

Inclusion-Exclusion for 3 Sets – (34 - 4)

Page 7: Lecture 24

Inclusion-Exclusion Principle for 4 Sets – (34 – 4a)

Page 8: Lecture 24

Exercise – (34 - 5)

Page 9: Lecture 24

Exercise – (34 – 5a)

Page 10: Lecture 24

Solution – (34 - 6)

Page 11: Lecture 24

Solution – (34 – 6b)

Page 12: Lecture 24

Solution – (34 – 6c)

Page 13: Lecture 24

Solution – (34 - 7)

Page 14: Lecture 24

Solution – (34 – 7b)

Page 15: Lecture 24

Solution – (34 – 7a)

Page 16: Lecture 24

Functions – (34 - 8)

Page 17: Lecture 24

Functions – (34 – 8a)

Page 18: Lecture 24

Pigeonhole – (34 - 9)

Page 19: Lecture 24

Exercise – (34 - 11)

Page 20: Lecture 24

Floor and Ceiling Functions – (34 - 17)

Page 21: Lecture 24

Example – (34 - 18)

Page 22: Lecture 24

Solution – (34 – 18a)