A set with no
elements in it is called an empty set such as:a set of objects in an empty
drawer. So, the question is…… is there more than 1 empty Set?

______________________________________________________________________________

**1.** Write the following set in builder
notation form.png">

A)
.png">

B)
.png">

C)
.png">

D)
.png">

E)
.png">

**2****.** List the
elements of the given set in roster notation..png">

A).png">

B).png">

C).png">

D).png">

**3****.** List all
subsets of the set.png">

A).png">

B)
.png">

C)
.png">

D)
.png">

**4****.** Find the
smallest possible set (that is, the set with the least number of elements) that
contains the given sets as subsets..png">

A)
.png">

B)
.png">

C)
.png">

D).png">

**5****.** Find the
smallest possible set (that is, the set with the least number of elements) that
contains the given sets as subsets..png">

A)
.png">

B)
.png">

C)
.png">

D)
.png">

**6****.** Use Venn
diagrams to illustrate the statement..png">

A)
.png">

B)
.png">

C)
.png">

D)
.png">

E)
.png">

**7****.** Shade the
portion of the accompanying figure that represents the set..png">

A)
.png">

B).jpg" alt="https://angel.grantham.edu/AngelUploads/QuestionData/5923c8c7-3cb0-47c6-802d-48ae179306aa/ma170w6.jpg#%7B0D83F229-0F3D-44FB-813E-6D48CC66CAC5%7D">

C).jpg">

D)
.png">

E)
.png">

**8****.** Determine
whether the given pair of sets is disjoint..png">

A)
Disjoint

B)
Not disjoint

**9****.** Let.png">and.png">.
Compute *n(A)*.

A)
4

B)
14

C)
8

D)
17

E)
5

F)
1

**10****.**
In a survey of 122 consumers conducted in a shopping mall, 82 consumers
indicated that they buy brand A of a certain product, 71 buy brand B, and 46
buy both brands. How many consumers participating in the survey buy only brand
A?

A)
35 consumers

B)
17 consumers

C)
87 consumers

D)
36 consumers

E)
51 consumers

F)
56 consumers

**11****.**
In a poll conducted among 180 active investors, it was found that 100 use
discount brokers, 122 use full-service brokers, and 54 use both discount and
full-service brokers. How many investors use only discount brokers?

A)
68

B)
58

C)
46

D)
36

E)
56

**12****.**
On a certain day, the Wilton County Jail had 183 prisoners. Of these, 127 were
accused of felonies, and 117 were accused of misdemeanors. How many prisoners
were accused of both a felony and a misdemeanor?

A)
89 prisoners

B)
61 prisoners

C)
64 prisoners

D)
73 prisoners

E)
68 prisoners

F)
87 prisoners

**13****.**If.png">,.png">,
and.png">,
what is.png">?

A)
4

B)
16

C)
14

D)
2

E)
6

F)
12

**14****.**
Let .png">and .png">be subsets of a universal set .png"> and suppose
.png">,.png">,.png">, and .png">.

Compute .png">.

A)
80

B)
100

C)
90

D)
200

E)
150

F)
180

**15****.**
Let .png">and
.png">be
subsets of a universal set .png">and
suppose.png">,.png">,.png">,
and.png">.

Compute .png">.

A)
40

B)
90

C)
30

D)
20

E)
170

F)
10

**16****.**
A survey of 900 subscribers to the Los Angeles Times revealed that 700 people
subscribe to the daily morning edition and 400 subscribe to both the daily and
the Sunday editions.How many subscribe to the Sunday edition?

A)
500 people

B)
700 people

C)
600 people

D)
300 people

E)
900 people

F)
100 people

**17****.**
Three different types of monthly commuter passes are offered by a city's local
transit authority for three different groups of passengers. How many different
kinds of passes must be possible?

A)
9 possible passes

B)
18 possible passes

C)
15 possible passes

D)
6 possible passes

E)
12 possible passes

F)
11 possible passes

**18****.**
In a card game, a 2-card hand consisting of an ace and either a face card of
diamond or a 10 is called a “win”. If a standard 52-card deck is used,
determine how many winning hands can be dealt.(A “face card” is a jack, queen,
or king.)

A)
48

B)
28

C)
20

D)
16

E)
40

**19.**
An opinion poll is to be conducted among cable TV viewers. Four multiple-choice
questions, each with three possible answers, will be asked. In how many
different ways can a viewer complete the poll if exactly one response is given
to each question?

A)
115 different ways

B)
81 different ways

C)
108 different ways

D)
136 different ways

E)
82 different ways

F)
6 different ways

**20****.**
A warranty identification number for a certain product consists of a letter of
the alphabet followed by a four-digit number. How many possible identification
numbers are there if the first digit of the four-digit number must be nonzero?

A)
234,000 numbers

B)
307,000 numbers

C)
99,000 numbers

D)
6,000 numbers

E)
414,000 numbers

F)
432,000 numbers

**21****.**
An exam consists of six true-or-false questions. Assuming that every question
is answered, in how many different ways can a student complete the exam? In how
many ways may the exam be completed if a penalty is imposed for each incorrect
answer, so that a student may leave some questions unanswered?

A)
108; 72

B)
92; 1,439

C)
64; 729

D)
66; 225

E)
15; 1,316

F)
72; 536

**22****.**
A Social Security number has seven digits. How many Social Security numbers are
possible?

A)
10,000,000

B)
5040

C)
720

D)
9,999,999

E)
6,000,000

**23****.**In
a survey conducted by a union, members were asked to rate the importance of the
following issues: (1) job security, (2) increased fringe benefits, and (3)
improved working conditions. Six different responses were allowed for each
issue. Among completed surveys, how many different responses to this survey
were possible?

A)
192

B)
205

C)
216

D)
221

E)
198

**24****.**
The 2010 BMW 335i Coupe is offered with a choice of 9 exterior colors (7
metallic and 2 standard), 5 interior colors, and 4 trims. How many combinations
involving color and trim are available for the model?

A)
180

B)
18

C)
29

D)
117

**25****.**
How many international direct-dialing numbers are possible if each number
consists of a four-digit area code (the first digit of which must be nonzero)
and an eight-digit telephone number (the first digit must be nonzero)?

A)
648,000,000,000

B)
486,000,000,000

C)
810,000,000,000

D)
891,000,000,000

E)
1,215,000,000,000