Permutations and Combinations

1.

Multiple Choice

5 mins

1 pt

Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

1

3628800

100

1814400

2.

Multiple Choice

5 mins

1 pt

There are 125 juniors at the high school. How many ways can they elect a president, vice president,and secretary?

1906500

317750

375

1953125

3.

Multiple Choice

1 min

1 pt

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

5040

35

28

840

4.

Multiple Choice

1 min

1 pt

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

336

56

24

100

5.

Multiple Choice

5 mins

1 pt

In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?

40320

1

64

8

6.

Multiple Choice

1 min

1 pt

Erik gets to choose from five cake flavors, seven icing flavors, and three topping flavors. If he can only choose one of each flavor, how many cakes are possible?

35

573

21

105

7.

Multiple Choice

1 min

1 pt

There are 14 candy bars for sale. How many ways can Andy choose five of them?

240240

2002

87178291200

70

8.

Multiple Choice

1 min

1 pt

There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?

220

36

1320

100

9.

Multiple Choice

5 mins

1 pt

The Nebraska license plate has 6 characters, each one filled with a number (0-9) or a letter. How many license plates are possible?

36

2176782336

60

1402410240

10.

Multiple Choice

5 mins

1 pt

A restaurant offers four appetizers, nine entrees,and three desserts. How many different ways can Angela choose a three course meal?

36

100

108

27

11.

Multiple Choice

5 mins

1 pt

Justin took a quiz with five multiple choice (A-D) and five true/false questions. How many different ways can he answer the questions?

1024

32

32768

25

12.

Multiple Choice

5 mins

1 pt

If Lucas owns 11 hoodies,how many ways can he choose four to bring on vacation?

44

7920

330

121

13.

Multiple Choice

5 mins

1 pt

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?

324

4896

816

54

14.

Multiple Choice

5 mins

1 pt

Rob is one of seven children in his family. How many ways can his parents choose four siblings to do chores?

35

28

840

10

15.

Multiple Choice

5 mins

1 pt

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?

456976

104

160

87880

16.

Multiple Choice

1 min

1 pt

What is the value of 5!

25

15

120

720

17.

Multiple Choice

30 sec

1 pt

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

15

4

24

18.

Multiple Choice

2 mins

1 pt

At summer camp, the campers pick two activities for the first day of camp. They can choose from among hiking, canoeing, rock climbing, and bird watching. How many different combinations of activities are there?

6

12

2

8

19.

Multiple Choice

2 mins

1 pt

At the middle school, a student takes 4 core classes a day. There are 6 different core classes offered. How many different combinations of classes are there?

24

15

720

360

20.

Multiple Choice

2 mins

1 pt

The class is drawing maps of the 7 continents to display in the school lobby. The main wall in the lobby has room for 3 maps. How many combinations of maps are possible for that location?

5,040

35

210

6

21.

Multiple Choice

2 mins

1 pt

Kimberly has seven colors of lanyards. She uses three different colors to make a key chain. How many different combinations can she choose?

210

5.040

6

35

22.

Multiple Choice

2 mins

1 pt

What is the value of 8!

40320

36

362880

5040

23.

Multiple Choice

2 mins

1 pt

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

64

14

4

112

24.

Multiple Choice

2 mins

1 pt

How many 5-digits numbers can be formed using ten digits (0-9) if no repetition is allowed?

30240

252

120

3628800

25.

Multiple Choice

15 mins

1 pt

₇P₂

0

7

42

210

26.

Multiple Choice

3 mins

1 pt

₁₂C₃

0

1

220

1140

27.

Multiple Choice

3 mins

1 pt

₁₂P₄

24

132

1320

11880

28.

Multiple Choice

1 min

1 pt

Which of the following is an example of combination?

Form a passcode with 4 digits

Students line up in a queue to assembly

Choose 4 students in a class committee

Choose the chairperson, secretary and treasurer in a club

29.

Multiple Choice

1 min

1 pt

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

combination

permutation

neither

30.

Multiple Choice

1 min

1 pt

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

combination

permutation

neither

31.

Multiple Choice

1 min

1 pt

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

combination

permutation

neither

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