WorksheetsPermutations and Combinations
Total questions: 31
Worksheet time: 2hrs 31mins
Name
Class
Date
1.
Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?
a)
1
b)
3628800
c)
100
d)
1814400
2.
There are 125 juniors at the high school. How many ways can they elect a president, vice president,and secretary?
a)
1906500
b)
317750
c)
375
d)
1953125
3.
Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.
a)
5040
b)
35
c)
28
d)
840
4.
Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?
a)
336
b)
56
c)
24
d)
100
5.
In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?
a)
40320
b)
1
c)
64
d)
8
6.
Erik gets to choose from five cake flavors, seven icing flavors, and three topping flavors. If he can only choose one of each flavor, how many cakes are possible?
a)
35
b)
573
c)
21
d)
105
7.
There are 14 candy bars for sale. How many ways can Andy choose five of them?
a)
240240
b)
2002
c)
87178291200
d)
70
8.
There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?
a)
220
b)
36
c)
1320
d)
100
9.
The Nebraska license plate has 6 characters, each one filled with a number (0-9) or a letter. How many license plates are possible?
a)
36
b)
2176782336
c)
60
d)
1402410240
10.
A restaurant offers four appetizers, nine entrees,and three desserts. How many different ways can Angela choose a three course meal?
a)
36
b)
100
c)
108
d)
27
11.
Justin took a quiz with five multiple choice (A-D) and five true/false questions. How many different ways can he answer the questions?
a)
1024
b)
32
c)
32768
d)
25
12.
If Lucas owns 11 hoodies,how many ways can he choose four to bring on vacation?
a)
44
b)
7920
c)
330
d)
121
13.
There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?
a)
324
b)
4896
c)
816
d)
54
14.
Rob is one of seven children in his family. How many ways can his parents choose four siblings to do chores?
a)
35
b)
28
c)
840
d)
10
15.
Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from?
a)
456976
b)
104
c)
160
d)
87880
16.
What is the value of 5!
a)
25
b)
15
c)
120
d)
720
17.
How many ways ways can you arrange the letters in the word math?
a)
15
b)
4
c)
24
18.
At summer camp, the campers pick two activities for the first day of camp. They can choose from among hiking, canoeing, rock climbing, and bird watching. How many different combinations of activities are there?
a)
6
b)
12
c)
2
d)
8
19.
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
20.
The class is drawing maps of the 7 continents to display in the school lobby. The main wall in the lobby has room for 3 maps. How many combinations of maps are possible for that location?
a)
5,040
b)
35
c)
210
d)
6
21.
Kimberly has seven colors of lanyards. She uses three different colors to make a key chain. How many different combinations can she choose?
a)
210
b)
5.040
c)
6
d)
35
22.
What is the value of 8!
a)
40320
b)
36
c)
362880
d)
5040
23.
A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possibles combinations of pizza with one topping are there?
a)
64
b)
14
c)
4
d)
112
24.
How many 5-digits numbers can be formed using ten digits (0-9) if no repetition is allowed?
a)
30240
b)
252
c)
120
d)
3628800
25.
7P2
a)
0
b)
7
c)
42
d)
210
26.
12C3
a)
0
b)
1
c)
220
d)
1140
27.
12P4
a)
24
b)
132
c)
1320
d)
11880
28.
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
29.
Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.
A team of 8 basketball players need to choose a co-captain and captain.
a)
combination
b)
permutation
c)
neither
30.
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
31.
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
100 %
