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WorksheetsPERMUTATIONS AND COMBINATIONS
Total questions: 22
Worksheet time: 1hrs 12mins
Name
Class
Date
1.
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
2.
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
3.
Choosing 3 toppings for your sundae out of a list of 15.
a)
Permutation
b)
Combination
c)
Neither
4.
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
5.
Determine whether the following scenarios are a permutation or a combination:
Selecting a lead and an understudy for a school play.
Selecting a lead and an understudy for a school play.
a)
Combination
b)
Permutation
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.
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
8.
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
9.
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
10.
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
11.
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
12.
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
13.
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
14.
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
15.
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
16.
A team of 8 basketball players needs to choose a captain and co-captain.
a)
64
b)
56
c)
15
d)
40,320
17.
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
18.
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
19.
A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals.
a)
135
b)
85,140
c)
14,190
d)
91,125
20.
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
21.
There are 45 applicants for three Computer Programmer positions.
a)
135
b)
85,140
c)
14,190
d)
91,125
22.
A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there?
a)
40
b)
5040
c)
6561
d)
10,000
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