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Quizizz 7.1 & 7.2

Total questions: 18

Worksheet time: 3hrs 0mins

Name
Class
Date
1.
What is the value of 5!
a)
25
b)
15
c)
120
d)
720
2.

How many ways ways can you arrange the letters in the word "MATH"?

a)

15

b)

4

c)

24

d)

48

3.

Permutation, combination, or neither?

The batting order for seven players on a 12 person team.

a)

Combination

b)

Permutation

c)

Neither

d)

Arithmetic

4.

There are six people people, including you and your enemy, in a line. In how many ways can you arrange yourselves such that you and your enemy will never be beside each other?

a)

240 ways

b)

720 ways

c)

480 ways

d)

670 ways

5.

How many distinct permutations can be made from the word "INDEPENDENCE"?

a)

1,763,200 permutations

b)

1,664,200 permutations

c)

1,863,200 permutations

d)

1,663,200 permutations

6.

In how many ways can you arrange the letters of the word "EDUCATION" such that the vowels are always together?

a)

120 ways

b)

14,400 ways

c)

362,880 ways

d)

6,547,234 ways

7.

Find the number of possible arrangements of 4 digits from the set {2,4,6,8} if the numbers must begin with the digit 8?

a)

6

b)

24

c)

64

8.

A seminar room has 20 seats; the front row has 8 seats, the second row has 7 seats and the third row 5 seats. 10 participants are to be seated in the room. Find the number of possible seating arrangements.

a)

20C10

b)

20P10

c)

10!

d)

20!

9.

Six married couple attend a parenting seminar. If each person has to sit next to their spouse, how many ways can they be seated in 12 chairs in a row?

a)

23,040 ways

b)

142,060 ways

c)

65,850 ways

d)

46,080 ways

10.

How many 3-digit numbers can be formed from the digits 1 to 9 if the digits can be repeated and the numbers formed are even?

a)

576

b)

400

c)

729

d)

324

11.

How many ways can two letters be chosen from the word SYN and three letters from the word DROME?

a)

54

b)

30

c)

42

d)

58

12.

A group of professionals comprises of three lawyers, two teachers and five accountants. A committee of four members is selected from these professionals. Calculate the number of ways to form the committee if there are one lawyer, one teacher and two accountants.

a)

42

b)

48

c)

56

d)

60

13.

Given the word SWITZERLAND, find the number of different ways to choose four letters of the word such that all the letters are consonants.

a)

128

b)

330

c)

70

d)

92

14.

A box contains 20 colored ping-pong balls. There are 5 balls each with the following colors; blue, red, yellow and green. The 5 balls of each colour are numbered from 1 to 5.4 ping-pong balls are randomly selected.

How many ways can 4 balls of same colour be selected?

a)

20

b)

35

c)

40

d)

50

15.

A committee of five is to be chosen from a group of 9 women and 6 men. How many ways can the committee be formed if a particular person must be in the committee?

a)

886

b)

942

c)

783

d)

1001

16.

A committee of five is to be chosen from a group of 9 women and 6 men. How many ways can the committee be formed if there are more women than men?

a)

2142

b)

942

c)

1875

d)

2093

17.

A student must answer 10 out of 13 questions in an exam. How many choices does he have if he must answer the first 2 questions?

a)

157

b)

150

c)

165

d)

174

18.

A student must answer 10 out of 13 questions in an exam. How many choices does he have if he must answer exactly 3 of the first 5 questions?

a)

102

b)

95

c)

80

d)

114