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Quant_Permutation_Quiz

Total questions: 35

Worksheet time: 35mins

Name
Class
Date
1.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

30

2.

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

a)

23

b)

840

c)

42

d)

3,628,800

3.
What is the value of 5!
a)
25
b)
15
c)
120
d)
720
4.

How many ways ways can you arrange the letters in the word math?

a)

15

b)

4

c)

24

d)

48

5.
7P2
a)
0
b)
7
c)
42
d)
210
6.
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
7.
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
8.

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

9.

In how many ways can you arrange seven people to be seated in a round table?

a)

5040 ways

b)

120 ways

c)

720 ways

d)

840 ways

10.

How many sample points are there in the sample space when a pair of dice is thrown once?

a)

6

b)

12

c)

24

d)

36

11.

From the word “FORGIVE” how many letter arrangements are possible given the following condition: all vowels and consonants are together.

a)

144 letter arrangements

b)

256 letter arrangements

c)

288 letter arrangements

d)

324 letter arrangements

12.

How many even four-digit numbers can be formed from the digits 0, 1, 2, 5, 6, and 9 if each digit can be used only once?

a)

60

b)

96

c)

156

d)

312

13.

How many different letter arrangements can be made from the letters in the word STATISTICS?

a)

100,800

b)

50,400

c)

25,200

d)

12,600

14.

Calculate the number of three-digit numbers that can be formed using the digits 1, 3, 5, 7 and 9 without repetition.

a)

60

b)

120

c)

240

d)

945

15.

Team A which consists of 6 players wishes to have badminton matches with team B which consists of 7 players. Calculate the number of different single matches that can be held.

a)

6

b)

7

c)

13

d)

42

16.

Calculate the number of ways how 4 different prizes can be given to 4 participants of a quiz.

a)

24

b)

20

c)

16

d)

12

17.

Calculate the number of ways to arrange 9 books of different tittles on a book rack.

a)

45

b)

81

c)

368280

d)

362880

18.

Using the digits 3, 4, 5, 6 and 7, without repetitions, calculate the number of four- digit numbers that are greater than 5000 that can be formed

a)

120

b)

72

c)

24

d)

12

19.

A group of 4 men and 3 ladies are to be seated in a row for a photo session. If the men and ladies want to be seated alternately, calculate the number of different arrangements

a)

144

b)

64

c)

24

d)

12

20.

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

21.

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

a)

336

b)

56

c)

24

22.

How many different ways can 9 people line up for a picture?

a)

362 880

b)

40 320

c)

387 420 489

23.

Four students need to be selected from a class of 15 to help clean up the campus. How many different ways can the 4 students be chosen, if the only two girls refuse to help?

a)

715

b)

1 365

c)

120

24.

A basketball team has 12 members who can play any position. How many different ways can the coach choose 5 starting players?

a)

95 040

b)

792

c)

60

25.
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
a)
12
b)
60
c)
15
26.
How many ways can you listen to 3 songs from a CD that has 12 selections?
a)
1320
b)
33
c)
36
27.
Picking a President, Vice-President, and Secretary from a group of 12.
a)
Permutation
b)
Combination
28.

Diagram above shows five cards of different letters.

Find the number of these arrangements in which the letters E and A are side by side .

a)

3P3×2P23P3\times2P2

b)

4P4×2P24P4\times2P2

c)

4P3×3P24P3\times3P2

d)

5P2×3P35P2\times3P3

29.

In how many ways can 5 different books be arranged on a shelf?

a)

4!

b)

5!

c)

8!

d)

3!

30.
The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?
a)
720
b)
120
c)
10!
31.
How would you solve?
How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?
a)
Permutation
b)
Combination
c)
Factorial
d)
MPC
32.
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
33.

A school librarian would like to buy subscriptions to 7 new magazines. Her budget however, will allow her to buy only 4 new subscriptions. How many different groups of 4 magazines can she choose from the 7 magazines?

a)

540

b)

640

c)

740

d)

840

34.

An airline is hiring 5 flight attendants. If 8 people apply for the job, how many different groups of 5 attendants can the airline hire?

a)

6720

b)

7260

c)

1270

d)

10 729

35.

How many distinguishable permutations are there in the letters of the word DISTANCE?

a)

40 320

b)

50 320

c)

60 320

d)

70 320