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Mathematics 10

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

1. What is true about Permutation?

a)

A. It focuses on the arrangement of objects.

b)

B. It focuses on the probability of objects to be chosen.

c)

C. It focuses on the selection of objects regardless of order.

d)

D. All of the above

2.

If one event can occur in m ways and a second thing can occur in n ways, then which expression gives the number of ways both events can occur?

a)

𝑚! 𝑛!

b)

𝑚 × n

c)

𝑚!

d)

𝑛!

3.

Evaluate 7P5.

a)

42

b)

120

c)

2,520

d)

5,040

4.

A new model of a car is available in six exterior colors, three interior colors, and two interior styles. How many versions of car are available for order?

a)

2

b)

6

c)

36

d)

720

5.

A multiple-choice test contains five questions, and each question has four options. In how many ways can the five questions be answered?

a)

20

b)

25

c)

625

d)

1,024

6.

A bookshelf has five different Algebra books and n different Geometry books. If there are 40,320 ways to arrange the books on the shelf, how many Geometry books are on the bookshelf?

a)

6

b)

5

c)

4

d)

3

7.

How many ways can the letters from the word FLEA be arranged such that each “word” starts with a consonant and ends with a vowel?

a)

8

b)

12

c)

24

d)

27

8.

What concept is involved when the letters of the word “FAIR” taken 4 at a time equals 24?

a)

Combination

b)

FPC

c)

Permutation

d)

Probability

9.

In how many ways can eight people be seated around a circular table?

a)

362,880

b)

40,320

c)

5,040

d)

720

10.

How many ways can 11 people be seated around a circular table if two insist to seat next to each other?

a)

181,440

b)

362,880

c)

725,760

d)

1,451,520

11.

There are 7 dots randomly placed on a circle, how many triangles can be formed using the dots as vertices?

a)

7

b)

20

c)

35

d)

84

12.

There are 13 volleyball teams during the 2019 CARAA. How many games must be played in order for each team to play every other team exactly once?

a)

13

b)

26

c)

78

d)

286

13.

Fifteen participants for the MTAP competition were asked to shake hands and introduce themselves with each other. How many handshakes took place?

a)

15

b)

30

c)

45

d)

105

14.

How many different committees can be selected from six men and five women if a committee is composed of three men or three women?

a)

100

b)

200

c)

300

d)

400

15.

An English Club had 17 players in their squad. There were nine male players and 8 female players. How many different teams could they select if each team had five male players and six female players?

a)

27

b)

532

c)

835

d)

3528