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Long Test Part 3

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

An English book, a Mathematics book and a Science book are to be arranged on a shelf. In how many different ways can these books be arranged?

a)

6

b)

9

c)

12

d)

520

2.

A triangles has three vertices, which are to be assigned the names A, B, and C. In how many different ways can the vertices be named?

a)

5

b)

6

c)

7

d)

8

3.

How many five-letter words can be formed using the letters W, X, Y, A, and B?

a)

36

b)

44

c)

120

d)

720

4.

How many words can be formed using all the letters of the word "Mathematics:?

a)

4989600

b)

4596088

c)

200000

d)

300000

5.

How many 5-digit multiples of 5 can be formed from the following digits such that each digit is used exactly once?

a)

24

b)

48

c)

72

d)

90

6.

Getting an odd number and a perfect square when a die is rolled?

a)

{1}

b)

{1,3,5}

c)

{1, 3, 4, 5}

d)

{1, 2, 3, 4, 5, 6}

7.

Getting an odd number or a perfect square when a die is rolled?

a)

{1}

b)

{1, 3, 5}

c)

{1, 3, 4, 5}

d)

{1, 3, 4, 5, 6}

8.

Getting a sum of 6 or same numbers when a pair of dice is rolled?

a)

{(1,5}, (2, 4), (3, 3), (4, 2), (5,1)}

b)

{(1,5}, (2, 4), (3, 3), (4, 2), (5,1), (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}

c)

{(3,3)}

d)

{(1,5}, (2, 4), (3, 3)}

9.

A soloist is auditioning for a musical play. If she is required to sing any three of the 7 prepared songs, in how many ways can she make her choice?

a)

35

b)

42

c)

210

d)

720

10.

8C3 + 6C1

a)

342

b)

324

c)

62

d)

26