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Unit 2 Math 4 REVIEW

Total questions: 62

Worksheet time: 4hrs 46mins

Name
Class
Date
1.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
2.
At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
3.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
4.
A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?
a)
30
b)
17
c)
90
d)
270
5.
The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?
a)
7 because 2 + 3 + 2
b)
12 because 2 x 3 x 2
6.
If you draw a random card from a standard deck of cards, how many possible outcomes?
a)
13
b)
26
c)
52
d)
54
7.
If you roll two dice, how many possible outcomes?
a)
360
b)
1
c)
36
d)
12
8.
How many total outfit options are represented?
a)
12
b)
22
c)
3
9.
You are about to take 6 question test. Each question has 4 possible answer choices. How many ways can you answer the test if you answer each question?
a)
4096
b)
24
c)
1296
d)
10
10.
How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?
a)
12
b)
7
c)
223
d)
64
11.
Find the total number of outcomes for picking a day of the week and a month of the year.
a)
19
b)
84
c)
60
d)
210
12.

You are taking a multiple-choice

test with 10 questions, each has

four choices. In how many ways

can you mark your answers?

a)

10,048,576 ways

b)

100 ways

c)

10, 000 ways

d)

1,048,576 ways

13.

A witness to a hit-and-run accident told the police

that the plate number of the suspect’s car contained

the letters X L followed by a different letter, and then

followed by three digits, the first of which is 4.

The witness cannot recall the last 2 digits, but is

certain that all 3 digits are different.

Find the maximum number of car registrations that

the police may have to check.

a)

1,820 registrations

b)

1,700 registrations

c)

1,278 registrations

d)

1,728 registrations

14.

AJ bag factory manufactures ladies bags

in 8 styles, 6 colors and 4 sizes.

How many different bags are available?

a)

16 bags

b)

192 bags

c)

48 bags

d)

102 bags

15.

A pizza can be ordered with 3 choices of size (small, medium, or large), 4 choices of crust

(thin, thick, crispy, or regular), and 5 choices

of toppings (beef, bacon, pepperoni, cheese

or mushroom). How many one-topping pizzas

can be ordered?

a)

60 pizzas

b)

600 pizzas

c)

360 pizzas

d)

120 pizzas

16.
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
a)
12
b)
60
c)
15
17.
How many ways can you listen to 3 songs from a CD that has 12 selections?
a)
1320
b)
33
c)
36
d)

220

18.
What is the value of 5!
a)
25
b)
15
c)
120
d)
720
19.
How many ways ways can you arrange the letters in the word math?
a)
15
b)
4
c)
24
20.

Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

a)

1

b)

3,628,800

c)

100

d)

1,814,400

21.

Max’s cell phone uses a three-digit pin to unlock it. How many different possible ways can he make a pin number using the digits 0-9? No digits repeat.

a)

90

b)

729

c)

1000

d)

720

22.
Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?
a)
720
b)
36
c)
100
d)
500
23.

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

a)

324

b)

4,896

c)

816

d)

54

24.

How many ways can you arrange 2 letters from the word

S Q U A R E?

a)

30

b)

140

c)

320

d)

45

25.

How many identification codes are possible using 4 letters if no letter may be repeated?

a)

15,600

b)

358,800

c)

7,893,600

d)

26

26.

In how many distinct ways can the letters of the word SCIENCE be arranged?

a)

5040

b)

1260

c)

2520

d)

1.75

27.

How many distinct permutations can be formed using the letters of the word TENNESSEE?

a)

3780

b)

362,880

c)

9

d)

I can't think of another way you could miss this problem so this isn't the correct answer.

28.
7P2
a)
0
b)
7
c)
42
d)
210
29.
How many ways ways can you arrange the letters in the word probability?
a)
66
b)

9,979,200

c)
39,916,800
30.
How many ways ways can you arrange 13 people who are waiting in line?
a)
6,227,020,800
b)
13
c)
91
31.
How many ways ways can you arrange the letters in the word Lincoln?
a)

1,260

b)
5,040
c)
28
32.

In how many ways can 8 people line up in a cafeteria line?

(a)  

33.

License plates in North Carolina have 3 letters followed by 4 digits. How many possibilities are there for license plates in North Carolina?

(a)  

34.

Many radio stations have four letter call signs beginning with "K". How many such call signs are possible if letters cannot be repeated?

(a)  

35.

Susie has 4 dresses, 5 pairs of shoes, and 3 coats. How many outfits are possible?

(a)  

36.

How many 7 letter patterns can be formed from the letters of benzene?

(a)  

37.

The Palace of Pizza offers small, medium, or large pizzas with 14 different toppings available. How many different 1-topping pizzas do they serve?

a)

3 x 14 = 42

b)

3 + 14 = 17

c)

14 x 14 x 14 = 2744

d)

14 x 13 x 12 = 2184

38.

How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?

a)

26 x 25 x 24 x 10 x 9 x 8 = 11232000

b)

26 x 26 x 26 x 10 x 10 x 10 = 17576000

c)

26 x 25 x 24 x 9 x 8 x 7 = 7862400

d)

26 x 26 x 26 x 9 x 9 x 9 = 12812904

39.
A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?
a)
30
b)
17
c)
90
d)
270
40.

In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?

a)

6760

b)

62

c)

2600

d)

6084

41.
A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?
a)
84
b)
504
c)
9!
d)
3!
42.
Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?
a)
8
b)
64
c)
8!
d)
56
43.
An election ballot asks voters to select three city commissioners from a group of six candidates.  In how many ways can this be done?
a)
6!
b)
120
c)
20
d)
3!
44.
How would you solve?
A book club offers a choice of 8 books from a list of 40.  In how many ways can a member make a collection?
a)
Permutation
b)
Combination
c)
Factorial
d)
MPC
45.
How would you solve?
From the 20 DVD's you purchased this past year, you plan to take five with you on vacation.  How many different sets of five DVD's can you take?
a)
Permutation
b)
Combination
c)
Factorial
d)
MPC
46.
The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?
a)
720
b)
120
c)
10!
47.
Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?
a)
720
b)
36
c)
100
d)
500
48.
Picking a team of three people out of a group of 10.
a)
Permutation
b)
Combination
c)
Neither
49.

Which of the following is an example of combination?

a)

Form a passcode with 4 digits

b)

Students line up in a queue to assembly

c)

Choose 4 students in a class committee

d)

Choose the chairperson, secretary and treasurer in a club

50.

Your basketball team has 11 players. How many ways can your coach choose five starting players?

a)

462

b)

55440

c)

55

d)

16

51.

There are fourteen candy bars to choose from at the gas station. How many ways can you choose five of them?

a)

240240

b)

2002

c)

19

d)

70

52.

Rob is one of seven children in his family. How many ways can his parents choose four siblings to do chores?

a)

35

b)

28

c)

840

d)

11

53.

You have 20 DVD's and plan on taking five with you on vacation. How many different sets of five DVD's can you take?  Choose how you would solve.

a)

 20P5 \ _{20}P_5\  

b)

 20C5 \ _{20}C_5\

c)

 5C20 \ _5C_{20}\  

d)

20!20!

54.

Calculate 8C5.

(a)  

55.

A box contains 5 color pencils. How many different sets of 3 pencils can be chosen from it?

a)

10

b)

60

c)

8

d)

15

56.

Calculate 11C5_{11}C_5 . 

(a)  

57.

Calculate 7C2_7C_2 . 

(a)  

58.

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

a)

32 760

b)

60

c)

1 365

59.

Permutation, combination, or neither?

A team of 8 basketball players need to choose a co-captain and captain.

a)

combination

b)

permutation

60.

Permutation, combination, or neither?

The batting order for seven players on a 12 person team.

a)

combination

b)

permutation

61.

Permutation, combination, or neither?

There are 45 applicants for three Computer Programmer job positions.

a)

combination

b)

permutation

62.

Permutation, combination, or neither?

Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

a)

combination

b)

permutation

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