1.
Given that


A =
{1, 2, 6, 9, 10}

B =
{2, 4, 6, 8)

C =
{1, 3, 5, 9}

D =
{ }

E =
{0, 1, 2, 8, 9, 10}

U =
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}



Find:

a)
(A’ Ç B’)
Ç (C’
È
D’)’


Solution





















b)
(C’ Ç
D’)’ D (A È E’)’


Solution























c)
(B’ È D)
– (A Ç E’)


Solution

























d)
(A’ - B’) È (C’
- D’)’


Solution



























e)
[(C’ Ç
D’)’ - (A D
E’)’]’


Solution























2. In a
chemistry class with 53 students,


20
students used chemical A

19
students used chemical B

31
students used chemical C

12
students used both chemicals A and B

11
students used both chemicals B and C

10
Students used both chemicals A and C

7
students used all the three chemicals A, B, C



a)
How many students used both chemicals A and
B, but not C?


b)
How many students used both chemicals B and C?


c)
How many students used at least 2 chemicals?


d)
How many students used only 1 chemical?


e)
How many students did not use any of the
chemicals?

1

Answers

2014-06-17T10:43:15+08:00
For # 2.

a) 13
b) 39
c) 19
d) 25
e) 9
0
can you give me some solution bout the answer for #2
use venn-diagram
can i see your solution of venn-diagram
I can't type venn-diagram coz it is a drawing