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Combinations and Permutations

Total questions: 20

Worksheet time: 23mins

Name
Class
Date
1.

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

a)

5

b)

3125

c)

120

d)

25

2.

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

d)

125

3.
20P2
a)
20
b)
380
c)
6840
d)
116280
4.
What does 10P5 mean?
a)
Permutations with 5 choices and 10 positions
b)
Permutations with 10 choices and 5 positions
c)
Permutations with 5 numbers and 10 operations
d)
Permutations with 5 hot dogs and 10 drinks
5.
At the middle school, a student takes 4 core classes a day.  There are 6 different core classes offered.  How many different combinations of classes are there?
a)
24
b)
15
c)
720
d)
360
6.
Choosing 3 toppings for your sundae out of a list of 15.
a)
Permutation
b)
Combination
c)
Neither
7.
The number of dinosaur models that a museum needs to make from 4 types of dinosaurs and 2 colors.
a)
Permutation
b)
Combination
c)
Neither
8.
Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.
a)
Combination
b)
Permutation
9.
7!
a)
4050
b)
5400
c)
5040
d)
4500
10.
Find the number of possibilities:
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
11.
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
12.

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

13.

Two number cubes are rolled, then a spinner with 4 different colors on it is spun twice, then two coins are flipped. How many total possible outcomes are there?

a)

4096

b)

24

c)

46,656

d)

2,304

14.
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
15.
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
16.
A combination lock has 7 digits.  How many distinct combinations does this lock have if the numbers used have to be 0 through 5?
a)
279936
b)
78125
c)
823543
d)
16807
17.
How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans. 
a)
15C2=105
b)
15P2=210
c)
15 x 2 = 30
d)
100 ways
18.
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
c)
neither
19.
Permutation, combination, or neither?
The batting order for seven players on a 12 person team.
a)
combination
b)
permutation
c)
neither
20.

When three-digit telephone area codes were first put in place, the first number could be any digit (2-9), the second number could only be 0 or 1, and the third could be any digit (0-9). How many possible area codes can be created with this format?

a)

24

b)

126

c)

140

d)

160