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Permutation, Combination, and Fundamental Counting Principle

Total questions: 15

Worksheet time: 10mins

Name
Class
Date
1.

In the formula nPr, what does r stand for?

a)

permutation

b)

combination

c)

total number of objects

d)

total number of objects selected

2.

In the formula nCr, what does n stand for?

a)

permutation

b)

combination

c)

total number of objects

d)

total number of objects selected

3.

Given a full deck of cards, find the cardinality of getting a red card.

a)

13

b)

26

c)

39

d)

52

4.

It is the arrangement of objects in a defined order.

a)

permutation

b)

combination

c)

probability

d)

fundamental counting

5.

Find the value of 6P3.

a)

60

b)

80

c)

100

d)

120

6.

Find the value of 10C4.

a)
210
b)
66
c)
45
d)
120
7.

In how many ways can the word HAPPY be arranged?

a)
24
b)
60
c)
120
d)
48
8.

In how many ways can the word MISSISSIPPI be arranged?

a)
34,650
b)
40,000
c)
34,560
d)
30,000
9.

Josh and Mark are selecting the players for their upcoming basketball game. In how many ways can they choose the first five players from their team of twelve?

a)
792
b)
1001
c)
924
d)
660
10.

Alpha, Bravo, Charlie and Delta are competing against each other in the CAT games. In how many ways can the first, second, third and fourth placer be ranked?

a)
36
b)
6
c)
12
d)
24
11.

Zedrick went to a restaurant and ordered a three-course meal. If he has a choice between 4 appetizers, 5 main course meals, and 6 desserts, how many orders can be made?

a)
120
b)
24
c)
30
d)
60
12.

All the possible outcomes in an experiment are also known as the _______.

a)
outcome set
b)
event space
c)
sample space
d)
result domain
13.

In rolling a die once, what is the cardinality of getting an even number that is also prime?

a)

4

b)
3
c)
2
d)

1

14.

Kurt joined a dancing contest together with 11 other contestants, in how many ways can 5 contestants be selected to advance to the next round?

a)
792
b)
660
c)
924
d)
715
15.

Arranging people to their assigned seats is an example of _______.

a)

Probability

b)

Fundamental Counting

c)

Permutation

d)

Combination