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QUIZ: COMBINATIONS

Total questions: 25

Worksheet time: 39mins

Name
Class
Date
1.

Find the number of ways a form four students can be choose 3 elective subjects from the subjects of Biology, Physics, Chemistry, Principles of Accounting, Basic Economics and Visual Arts.

a)

20

b)

120

c)

720

d)

6

2.

Find the number of ways to select 2 vowels and 5 consonant letters from the word 'BERHIMPUN'.

a)

18

b)

4320

c)

3

d)

6

3.

a)

900

b)

60

c)

75

d)

300

4.

ABCDEF are the vertices of a regular hexagon. Find the number of triangles that can be made using all of the vertices.

a)

20

b)

21

c)

15

d)

35

5.

Puan Ainul had to select 3 male participants and 2 female participants to participate in a motivational camp. They will be selected from 6 boys and 6 girls. Find the number of ways the selection can be made.

a)

300

b)

792

c)

320

d)

640

6.

A committee is formed to improve the performance of the Additional mathematics for students in a district. The committee is consisted of 7 members elected from 6 heads of Mathematics panels, 3 excellent Mathematics teachers and 2 Additional Mathematics teachers. Calculate the number of ways the committee can be selected if the committee must consists at least 3 heads of Mathematics panels, at least one of the excellent Mathematics teacher and include the two Additional Mathematics teachers.

a)

105

b)

60

c)

125

d)

35

7.

There are ten points on the circumference of a circle. Find the number of straight line that can be drawn by connecting any points.

a)

45

b)

28

c)

46

d)

30

8.

A bowling team consists of 6 players. The team will be chosen from a group of 7 male students and 6 female students. Find the different number of ways the team can be formed if all the players are the same gender.

a)

8

b)

7

c)

6

d)

5

9.

Teacher Raihan and Teacher Cristina and 11 students can choose to ride in any of the three cars to attend a seminar. Car A can accommodate 5 person, Car B can accommodate 6 person while Car C can accommodate 2 person. Find the number of ways the two teachers can ride in the same car.

a)

4620

b)

6930

c)

12012

d)

10462

10.

4 letters are chosen from the word "GERMANY". Find the number of ways to choose these letters if it contains letter "E".

a)

20

b)

5

c)

6

d)

18

11.

An athletics team which consists of 4 athletes is to be selected from 5 sportsmen and 4 sportswomen. Find the number of different ways the team can be formed if it consist of at most 2 sportswomen.

a)

105

b)

100

c)

110

d)

115

12.

The school prefects consists of 10 students. These students are chosen from 12 monitors and 10 assistant monitors. Calculate the number of ways to choose the prefects if the school prefects consist of at least 8 monitors.

a)

24541

b)

24500

c)

25441

d)

24514

13.

A Mathematics examination paper consist of 16 questions. Find the number of combinations to answer 8 questions if a student is required to answer 5 questions from section A which consists of 10 questions and 3 questions from section B which consists of 6 questions.

a)

5040

b)

5400

c)

12870

d)

12087

14.

A committee of parents-teacher association is made up of 6 people chosen from 7 parents, 4 teachers and a principal. In how many ways can the committee can be formed if it consist of exactly 3 parents.

a)

350

b)

462

c)

330

d)

400

15.

4 letters are chosen from the word “PERANCIS”. Find the number of ways to choose the letters if does not contain vowels.

a)

5

b)

10

c)

25

d)

35

16.

Three letters are chosen from the letters from the word SEMBUNYI. Find the number of ways if each selection contains one consonant.

a)
b)
c)
d)
17.

A committee of five prefects is to be chosen

from a group of four boys and five girls.

In how many ways can this committee be formed

if the number of girls must be more than boys

a)

80

b)

81

c)

70

d)

71

18.

Find the number of ways of selecting at least

1 man from 6 men.

a)

63

b)

6

c)

60

d)

12

19.

Is it true or false?

a)

True

b)

False

20.

Find the number of triangles can be formed from the vertices of heptagon?

a)

35

b)

20

c)

56

d)

84

21.

Which of the following statements is CORRECT?

a)

A combination is an arrangement of items in a row.

b)

A grouping or subset of items is called a permutation.

c)

In combination, the order of the items is not important.

d)

The number of combinations is always greater than the number of permutations.

22.

Choose 3 situations that illustrates combinations.

a)

Choosing a meal set consisting of a main course, a side dish, and a dessert.

b)

To promote reading, a teacher decides to feature 3 classics, 4 contemporary novels and 2 non-fiction books on a notice board.

c)

At the library, Ina found 6 books of interest but she can only borrow 4 books.

d)

Determining the number of ways in which four officials consisting of a president, a vice president, a secretary and a treasurer can be elected.

23.

Which of the following statements is CORRECT?

a)

A combination is an arrangement of items in a row.

b)

A grouping or subset of items is called a permutation.

c)

In combination, the order of the items is not important.

d)

The number of combinations is always greater than the number of permutations.

24.

Which of the following is the formula for Combinations?

a)

n!(n-r)! r!

b)

n!(n-r)!

c)

r!(r-n)! n!

d)

n!

25.

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