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Worksheets

Permutation and Combination

Total questions: 25

Worksheet time: 2hrs 37mins

Name
Class
Date
1.

A Mathmatics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

a)

5

b)

10

c)

15

2.

A family of 3 plans to sit in the same row at a movie theater. How many ways can the family be seated in 3 seats?

a)

3

b)

6

c)

1

3.

Benedic wants to order a sandwich with two of the following ingredients: mushroom, eggplant, tomato, and avocado. How many different sandwiches can Benedic choose?

a)

8

b)

6

c)

4

4.
How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?
a)
90
b)
100
c)
12
d)
24
5.
Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?
a)
8
b)
64
c)
8!
d)
56
6.
How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?
a)
90
b)
100
c)
12
d)
24
7.

A family of 3 plans to sit in the same row at a movie theater. How many ways can the family be seated in 3 seats?

a)

3

b)

6

c)

1

8.
7P2
a)
0
b)
7
c)
42
d)
210
9.
8P3
a)
1
b)
8
c)
56
d)
336
10.

From a group of 4 boys and 3 girls, in how many ways can we form a group 3 with at least 2 girls?

a)

35

b)

13

c)

12

d)

19

11.

A committee that consist of 6 teachers is to be chosen from 4 male teachers and 5 female teachers. Find the number of different committee that can be formed if 3 male teachers and 3 female teachers are required in the committee.

a)

120

b)

60

c)

84

d)

40

12.
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
13.
Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.
a)
combination
b)
permutation
c)
neither
14.
How many ways can you choose a manager and assistant from a 9-person task force?
a)
81
b)
18
c)
72
15.
What does 10Pmean?
a)
Permutations with 5 choices and 10 positions
b)
Permutations with 10 choices and 5 positions
c)
Permutations with 5 numbers and 10 operations
d)
Permutations with 5 hot dogs and 10 drinks
16.
How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?
a)
90
b)
100
c)
12
d)
24
17.

A Mathmatics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

a)

5

b)

10

c)

15

18.
How many ways can you arrange 2 letters from the word
S Q U A R E?
a)
30
b)
140
c)
320
d)
45
19.

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

20.
What is the formula for Permutations?
a)
n!
b)
n!(n-r)!
c)
n!(n-r)! r!
d)
r!(r-n)! n!
21.
What is the formula for Combinations?
a)
n!(n-r)! r!
b)
n!(n-r)!
c)
r!(r-n)! n!
d)
n!
22.

How many 5- Digit numbers can be formed using 0-9?

a)

10

b)

100,000

c)

15120

d)

10,000

23.

How many ways can the letters MATH be arrange?

a)

24

b)

3,125

c)

25

d)

100

24.

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

a)

5

b)

3125

c)

120

d)

25

25.
Addition rule applies when
a)
Apply counting using sequential steps
b)
Apply counting through cases
c)
All the time
d)
I don't know