WorksheetsAlg 2 Unit 11 Mod 2 Counting Principle
Total questions: 30
Worksheet time: 2hrs 16mins
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, salad and beverage can be ordered?
30
17
90
270
The Palace of Pizza offers small, medium, or large pizzas with 14 different toppings available. How many different 1-topping pizzas do they serve?
3 x 14 = 42
3 + 14 = 17
14 x 14 x 14 = 2744
14 x 13 x 12 = 2184
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?
4 x 4 x 4 x 4 = 256
4 x 3 x 2 x 1 = 24
4 + 4 + 4 + 4 = 16
4 + 3 + 2 + 1 = 10
How many license plates consisting of three letters followed by three numbers are possible when NO repetition is allowed?
26 x 25 x 24 x 10 x 9 x 8 = 11232000
26 x 26 x 26 x 10 x 10 x 10 = 17576000
26 x 25 x 24 x 9 x 8 x 7 = 7862400
26 x 26 x 26 x 9 x 9 x 9 = 12812904
How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?
26 x 26 x 26 x 10 x 10 x 10 = 17576000
26 x 25 x 24 x 10 x 9 x 8 = 11232000
26 x 26 x 26 x 9 x 9 x 9 = 12812904
26 x 25 x 24 x 9 x 8 x 7 = 7862400
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?
12
80
28
1024
Brian’s school day consists of six classes. How many different ways can his schedule be arranged?
720
36
100
500
Use the fundamental counting principle to find the total number of different outcomes for a car license plate if you need 3 different letters and 3 different 1-digit numbers. You can reuse numbers and letters (for instance, AAA-111 is possible). There are 26 letters in the alphabet, 1-digit numbers are 0-9.
6, because there are six different spaces in the license plate.
17,576,000, because 26 x 26 x 26 x 10 x 10 x 10
12,812,904, because 26 x 26 x 26 x 9 x 9 x 9
9, because 3 x 3
The Fundamental Counting Principle allows you to...
see each and every possible outcome possibility in your sample.
find the number of total outcomes in your sample.
count how many times you must do a tree diagram.
see how many outcomes will not show up on a tree diagram.
Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?
36
64
720
46656
How many ways can six books be arranged on a shelf?
720
360
120
30
The Mathematics club has seven members. How many ways can this club select a president, vice president, and secretary if all members are eligible but no one can hold both position ?
18
42
120
210
Shoe World sells shoes in 20 different styles. Each style comes in 4 colors and 9 sizes. If the store manager wants to have every possible combination, how many pairs must he keep in stock?
36
13
720
80
A digital lock uses a 4-digit code where each digit can range from 0-9. How many unique codes are possible if digits can be repeated?
10000
9999
104
1000
What do points A and E represent on the box plot?
Mean and Mode
Mean and Median
Least and Greatest Value
First and Third Quartiles
