WorksheetsCounting Rules
Total questions: 50
Worksheet time: 2hrs 54mins
Name
Class
Date
1.
A team of 8 basketball players needs to choose a captain and co-captain.
a)
64
b)
56
c)
15
d)
40,320
2.
A group of 25 people are going to run a race. The top 8 finishers advance to the finals.
a)
200
b)
4.3609 x 1010
c)
0
d)
1,081,575
3.
A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there?
a)
64
b)
14
c)
24,024
d)
2184
4.
You go to Best Buy to purchase a new television. You have the following choices: LCD or plasma; screen size 27”, 32”, 36”, 41”, 51”, or 63” and manufacturer Sony, Vizio or Phillips. How many different televisions does the store have to offer?
a)
18
b)
990
c)
72
d)
36
5.
A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals.
a)
135
b)
85,140
c)
14,190
d)
91,125
6.
5 out of 13 students will ride in a car instead of a van
a)
1,287
b)
154,440
c)
371,293
d)
65
7.
There are 45 applicants for three Computer Programmer positions.
a)
135
b)
85,140
c)
14,190
d)
91,125
8.
A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there?
a)
40
b)
5040
c)
6561
d)
10,000
9.
A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there if you cannot reuse a number?
a)
40
b)
5040
c)
6561
d)
10,000
10.
When does the order in which you are choose matter?
a)
Combination
b)
Permutation
11.
When does the order in which you are choose not matter?
a)
Combiniation
b)
Permutation
12.
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream. A customer gets to choose a cone and a type of ice cream. How many different 1-scoop ice cream cones can a customer order?
a)
34
b)
2
c)
3
d)
93
13.
If you roll a die then flip a coin, how many possible outcomes?
a)
2
b)
6
c)
12
d)
64
14.
If you roll two dice, how many possible outcomes?
a)
360
b)
1
c)
36
d)
12
15.
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
16.
A particular model at a New Car Dealership 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
17.
A particular model at a New Car Dealership 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
18.
Experimental Probability is:
a)
What Will happen
b)
What actually happens
c)
What should happen
d)
What I think Happens
19.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
20.
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
21.
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
22.
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
23.
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
24.
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
25.
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
26.
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
27.
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
28.
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
29.
A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?
a)
12
b)
80
c)
28
d)
1024
30.
Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?
a)
36
b)
64
c)
720
d)
46656
31.
Cate's history quiz has 3 true/false questions. When Cate takes the quiz, how many events will occur?
a)
2
b)
3
c)
8
d)
None of the these
32.
If you draw a random card from a standard deck of cards, how many possible outcomes?
a)
13
b)
26
c)
52
d)
54
33.
If you roll two dice, how many possible outcomes?
a)
360
b)
1
c)
36
d)
12
34.
Which method of finding the total outcomes of an event allows you to see all possible outcomes?
a)
fundamental counting principle
b)
experimental probability
c)
theoretical probability
d)
tree diagram
35.
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
36.
How many total outfit options are represented?
a)
12
b)
22
c)
3
37.
The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the complete set of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
38.
The tree diagram shows the outcomes of rolling a die and flipping a coin.
How many total outcomes are there?
How many total outcomes are there?
a)
6
b)
12
c)
24
d)
36
39.
Which of the following situations is represented by this tree diagram?
a)
3 shirt options, 6 pants options, and 12 shoe options
b)
3 shirt options, 2 pants options, and 2 shoe options
c)
2 shirt options, 3 pants options, and 1 shoe option
40.
Tree Diagram
a)
A written list of all possible outcomes
b)
A description of all possible outcomes
c)
A drawing with branches of all possible outcomes
41.
A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert?
a)
5 x 3 x 4 = 60
b)
5 + 3 + 4 = 12
42.
The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?
a)
4 x 4 x 4 x 4 = 256
b)
4 x 3 x 2 x 1 = 24
c)
4 + 4 + 4 + 4 = 16
d)
4 + 3 + 2 + 1 = 10
43.
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
44.
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
45.
How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?
a)
26 x 26 x 26 x 10 x 10 x 10 = 17576000
b)
26 x 25 x 24 x 10 x 9 x 8 = 11232000
c)
26 x 26 x 26 x 9 x 9 x 9 = 12812904
d)
26 x 25 x 24 x 9 x 8 x 7 = 7862400
46.
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
47.
James purchased 3 shirts, 3 jackets and 2 pairs of pants. How many different outfits using a shirt, a jacket, and pants are possible?
a)
8
b)
18
c)
54
48.
Which of the following situations is represented by this tree diagram?
a)
3 shirt options, 6 pants options, and 12 shoe options
b)
3 shirt options, 2 pants options, and 2 shoe options
c)
2 shirt options, 3 pants options, and 1 shoe option
49.
If you roll a die then flip a coin, how many possible outcomes?
a)
2
b)
6
c)
12
d)
64
50.
Which tree diagram has the most possible outcomes?
a)
b)
c)
100 %
