WorksheetsCounting Principle, Permutations and Combinations
Total questions: 11
Worksheet time: 20mins
Name
Class
Date
1.
A team of 8 basketball players needs to choose a captain and co-captain.
a)
64
b)
56
c)
15
d)
40,320
2.
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
3.
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
4.
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
5.
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
6.
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
7.
There are 45 applicants for three Computer Programmer positions.
a)
135
b)
85,140
c)
14,190
d)
91,125
8.
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
9.
A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there if you cannot reuse a number?
a)
40
b)
5040
c)
6561
d)
10,000
10.
When does the order in which you are choose matter?
a)
Combination
b)
Permutation
11.
When does the order in which you are choose not matter?
a)
Combiniation
b)
Permutation
100 %
