q4

(

Show all your work

to get full credit

. This

quiz covers material

s

fr

om week 4

)

1.

(16

pts

)

Let

{

}

{

}

{

}

{

}

7

,

3

,

1

,

8

,

5

,

2

,

1

,

6

,

4

,

2

,

8

,

7

,

6

,

5

,

4

,

3

,

2

,

1

=

=

=

=

C

B

A

U

Find each

of the following.

(

)

y

y

B

A

Ç

(

)

(

)

y

y

A

B

C

A

È

Ç

È

2.

(14 pts)

List all the subsets of the given set.

{

}

6

2

|

<

<

Î

=

x

and

N

x

x

A

3.

(30 pts)

A

survey of 80 college students was taken to determine the musical styles they

listened to. Forty

-

two students listened to rock, 34 to classical, and 27 to jazz. Twelve students

listened to rock

and jazz, 14 to rock and classical, and 10 to classical and ja

zz. Seven students

listened to all three musical styles. Of those surveyed,

a. How many listened to only rock music?

b. How many listened to classical and jazz, but not rock?

c. How many listened to classical or jazz, but not rock?

d. How many listened to

music in exactly one of the musical styles?

e. How many listened to music in at least two of the musical styles?

f. How many did not listen to any of the musical styles?

4.

(20 pts)

There are four blood types, A, B, AB, and O. Blood can also be Rh+ and

Rh

-

. Finally, a

blood donor can be classified as either

male or female. How many different ways can a donor

have his or her blood labeled? (Use tree diagram)

5.

(20 pts)

In a club there are 7 women and 5 men. A committee of 3 women and 2 men is to be

cho

sen. How many different possibilities are there?

(Show all your work to get full credit. This quiz covers materials from week 4)

1. (16 pts) Let 7,3,1,8,5,2,1,6,4,2,8,7,6,5,4,3,2,1CBAU

Find each of the following.







BA





ABCA

2. (14 pts) List all the subsets of the given set.

62|xandNxxA

3. (30 pts) A survey of 80 college students was taken to determine the musical styles they

listened to. Forty-two students listened to rock, 34 to classical, and 27 to jazz. Twelve students

listened to rock and jazz, 14 to rock and classical, and 10 to classical and jazz. Seven students

listened to all three musical styles. Of those surveyed,

a. How many listened to only rock music?

b. How many listened to classical and jazz, but not rock?

c. How many listened to classical or jazz, but not rock?

d. How many listened to music in exactly one of the musical styles?

e. How many listened to music in at least two of the musical styles?

f. How many did not listen to any of the musical styles?

4. (20 pts) There are four blood types, A, B, AB, and O. Blood can also be Rh+ and Rh-. Finally, a

blood donor can be classified as either male or female. How many different ways can a donor

have his or her blood labeled? (Use tree diagram)

5. (20 pts) In a club there are 7 women and 5 men. A committee of 3 women and 2 men is to be

chosen. How many different possibilities are there?