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WorksheetsCounting Principle Permutations Combinations
Total questions: 22
Worksheet time: 1hrs 13mins
Name
Class
Date
1.
Picking two paint colors for your room.
a)
Permutation
b)
Combination
c)
Neither
2.
Members of 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, second, and third prize be awarded?
a)
18
b)
120
c)
36
3.
How many ways can you choose a manager and assistant from a 9-person task force?
a)
81
b)
18
c)
72
4.
Permutation, combination, or neither?
The batting order for seven players on a 12 person team.
The batting order for seven players on a 12 person team.
a)
combination
b)
permutation
c)
neither
5.
Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.
There are 45 applicants for three Computer Programmer job positions.
a)
combination
b)
permutation
c)
neither
6.
Find the number of possibilities:
A group of 25 people are going to run a race. The top 8 finishers advance to finals.
A group of 25 people are going to run a race. The top 8 finishers advance to finals.
a)
625
b)
4.36 X 1010
c)
1,081,575
7.
Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.
A team of 17 softball players needs to choose three players to refill the water cooler.
a)
272
b)
4080
c)
680
8.
How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?
a)
672
b)
40
c)
6720
9.
Permutation, combination, or neither?
You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf?
You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf?
a)
combination
b)
permutation
c)
neither
10.
How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?
a)
90
b)
100
c)
12
d)
24
11.
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?
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
12.
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
13.
What is the value of 8!
a)
40320
b)
36
c)
362880
d)
5040
14.
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.
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
c)
neither
15.
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
16.
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
17.
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
18.
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
19.
The Social Security number contains nine digits, if the form of 000-00-0000. How many different Social Security numbers can be formed using any numerals from 0 to 9?
a)
9,000,000,000
b)
81
c)
387,420,489
d)
1,000,000,000
20.
Experimental Probability is:
a)
What Will happen
b)
What actually happens
c)
What should happen
d)
What I think Happens
21.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
22.
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
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