WorksheetsFundamental Counting Principal, Permutations, Combinations
Total questions: 12
Worksheet time: 15mins
Name
Class
Date
1.
James purchased 3 shirts, 3 jackets and 2 pairs of pants. How many different outfits using a shirt, a jacket, and pants are possible?
a)
8
b)
18
c)
54
2.
The value of 5! is ____.
a)
25
b)
15
c)
120
d)
720
3.
Which of the following would you use to calculate the number of ways to elect a President, a Vice President, and a Secretary from a group of 12 individuals. Think: Does order matter?
a)
Permutation
b)
Combination
c)
Neither
4.
What does 10C5 mean?
a)
Combinations with 5 choices and 10 positions
b)
Combinations with 10 choices and 5 positions
c)
Permutations with 5 numbers and 10 operations
d)
Permutations with 5 hot dogs and 10 drinks
5.
What is the value of 5P2?
a)
60
b)
10
c)
20
d)
15
6.
How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits? Think: Does order matter?
a)
90
b)
100
c)
12
d)
24
7.
Which of the following would be used to calculate the number of ways one could choose 3 toppings for a sundae out of a list of 15?
a)
Permutation
b)
Combination
c)
Neither
8.
Ambry must submit 4 paintings as part of her application to art school. If she has 25 to choose from, how many ways can she pick 4? Think: Does order matter?
a)
12,650
b)
303,600
c)
100
d)
254
9.
A team of 17 volleyball players needs to choose three players to refill the water cooler. How many different ways can the players be chosen?
a)
3360
b)
560
c)
4080
d)
680
10.
What is the formula for permutations?
a)
n!
b)
n!∕(n-r)!
c)
n!∕(n-r)! r!
d)
r!∕(r-n)! n!
11.
What is the formula for combinations?
a)
n!∕(n-r)! r!
b)
n!∕(n-r)!
c)
r!∕(r-n)! n!
d)
n!
12.
At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
100 %
