WorksheetsFundamental Counting Principle
Total questions: 25
Worksheet time: 3hrs 51mins
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.
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
6.
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
7.
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 events are described here?
a)
1
b)
2
c)
3
d)
93
8.
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
9.
If you draw a random card from a standard deck of cards, how many possible outcomes?
a)
13
b)
26
c)
52
d)
54
10.
If you roll two dice, how many possible outcomes?
a)
360
b)
1
c)
36
d)
12
11.
Yummy-Yum has prepared cupcakes with five different toppings: sprinkles, coconut, chocolate chip, oreo crumbles, and M&M’s. In how many ways can they arrange three of the cupcakes in a display case?
a)
60
b)
125
c)
15
d)
12
12.
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
13.
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
14.
Find the total number of outcomes when choosing between vanilla, strawberry, chocolate or mint chocolate chip ice cream with fudge, butterscotch, strawberry or whipped topping, in a cone or a cup.
a)
16
b)
8
c)
32
d)
3
15.
How many total outfit options are represented?
a)
12
b)
22
c)
3
16.
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
17.
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
18.
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
19.
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
20.
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
21.
If you roll a die then flip a coin, how many possible outcomes?
a)
2
b)
6
c)
12
d)
64
22.
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
23.
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
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 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
100 %
