# 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
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?

by kathe 17.06.2014

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