Solution: 2014 Fall Final - 6
Author: Michiel SmidQuestion
In a group of 100 students,
- 40 like 8:30am classes,
- 30 like the course COMP 2804,
- 50 do not like 8:30am classes and do not like the course COMP 2804.
(a)
10
(b)
30
(c)
40
(d)
20
Solution
A = Like 8:30am classes
$ |A| = 40 $
B = Like COMP 2804
$ |B| = 30 $
$ |\overline{A \cup B}| = 50 $
$ |A \cup B| = 100-50 $
$ |A \cup B| = 50 $
$ |A \cap B| = |A| + |B| - |A \cup B| $
$ |A \cap B| = 40 + 30 - 50 $
$ |A \cap B| = 20 $