Quiz about Permutations and Combinations

Question 1

Determine whether the following scenarios are a permutation or a combination:

Selecting a lead and an understudy for a school play.

Accepted Answer

Permutation

Answer

Combination

Question 2

How many ways can you arrange 2 letters from the word
S Q U A R E?

Accepted Answer

30

Answer

140

Answer

320

Answer

45

Question 3

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Accepted Answer

80

Answer

15

Answer

40

Answer

10

Question 4

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

Accepted Answer

12

Answer

90

Answer

100

Answer

24

Question 5

Is the order of arrangement important?
Find the number of ways to form a team of three players for a game out of a group of 10 individuals.

Accepted Answer

No

Answer

Yes

Question 6

Members of 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, second, and third prize be awarded?

Accepted Answer

120

Answer

18

Answer

36

Answer

18

Question 7

How many ways can you choose a manager and assistant from a 9-person task force?

Accepted Answer

72

Answer

81

Answer

18

Question 8

Each lock contains 3 dials, each with ten digits. How many possible sequences of number exist?

Accepted Answer

1000

Answer

100

Answer

10

Answer

720

Question 9

A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?

Accepted Answer

604,800

Answer

60,480

Answer

10,000,000

Answer

100

Question 10

How many 5- Digit numbers can be formed using 0-9?

Accepted Answer

100,000

Answer

10

Answer

15120

Answer

10,000

Question 11

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there?

Accepted Answer

64

Answer

16

Answer

8

Answer

512

Question 12

How many ways can 6 bicycles be parked in a row?

Accepted Answer

720

Answer

70

Answer

600

Answer

12

Question 13

NJ license plates have 3 letters followed by 4 numbers. If the same letter cannot be repeated, how many can be made?

Accepted Answer

156,000,000

Answer

156,000

Answer

100,000,000

Answer

100,000

Question 14

How many ways can the letters MATH be arrange?

Accepted Answer

24

Answer

3,125

Answer

25

Answer

100

Question 15

An internet code consists of one digit followed by one letter,  The number zero and letter O are excluded.  How many codes are possible?

Accepted Answer

225

Answer

35

Answer

260

Question 16

How many ways can you listen to 3 songs from a CD that has 12 selections?

Accepted Answer

1320

Answer

33

Answer

36

Question 17

How many identification code are possible by using 3 letters if no letter may be repeated?

Accepted Answer

15, 600

Answer

75

Answer

78

Question 18

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

Accepted Answer

4896

Answer

324

Answer

816

Answer

54

Question 19

Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from?

Accepted Answer

87880

Answer

456976

Answer

104

Answer

160

Question 20

Grant has five pairs of pants, nine shirts, and six ties. How many different outfits can he make consisting of one pair of pants, one shirt, and one tie?

Accepted Answer

270

Answer

45

Answer

30

Answer

54

Permutations and Combinations

20 questions

Determine whether the following scenarios are a permutation or a combination:

Selecting a lead and an understudy for a school play.

How many ways can you arrange 2 letters from the word
S Q U A R E?

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

Is the order of arrangement important?
Find the number of ways to form a team of three players for a game out of a group of 10 individuals.

Members of 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, second, and third prize be awarded?

How many ways can you choose a manager and assistant from a 9-person task force?

Each lock contains 3 dials, each with ten digits. How many possible sequences of number exist?

A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?

How many 5- Digit numbers can be formed using 0-9?

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Permutations and Combinations

20 questions

Determine whether the following scenarios are a permutation or a combination: Selecting a lead and an understudy for a school play.

How many ways can you arrange 2 letters from the word S Q U A R E?

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

Is the order of arrangement important?Find the number of ways to form a team of three players for a game out of a group of 10 individuals.

Members of 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, second, and third prize be awarded?

How many ways can you choose a manager and assistant from a 9-person task force?

Each lock contains 3 dials, each with ten digits. How many possible sequences of number exist?

A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?

How many 5- Digit numbers can be formed using 0-9?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Determine whether the following scenarios are a permutation or a combination:

Selecting a lead and an understudy for a school play.

How many ways can you arrange 2 letters from the word
S Q U A R E?

Is the order of arrangement important?
Find the number of ways to form a team of three players for a game out of a group of 10 individuals.