Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Counting Techniques - Multiply your options

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A man has three pairs of pants, five shirts, and four ties. Assuming they all would match nicely, how many different outfits can he make?

a)

12 outfits

b)

27 outfits

c)

60 outfits

d)

120 outfits

2.

A sandwich shop has 3 bread options, 6 meat choices, and 8 extra ingredient options. For the basic sandwich option, you must choose one bread type, one meat, and only one extra ingredient. How many basic sandwich options are there?

a)

17

b)

72

c)

100

d)

144

3.

How many 4 digit passcodes are possible if repetitions ARE allowed?

a)

10,000

b)

40

c)

5,040

d)

400

4.

How many 4 digit passcodes are possible if repetitions are NOT allowed?

a)

10,000

b)

40

c)

5,040

d)

400

5.

My initials are CSP since I have a first name, middle name, and last name. How many different sets of three initials are possible?

a)

78

b)

17,576

c)

15,600

d)

27

6.

How many ways can 9 books be arranged in a row on a shelf?

a)

9

b)

45

c)

181,440

d)

362,880

7.

A password must be two digits followed by three letters. If repeats of symbols ARE allowed, how many passwords are possible?

a)

10 X 9 X 26 X 25 X 24

b)

10 X 10 X 26 X 26 X 26

c)

10 + 10 + 26 + 26 + 26

d)

10 + 9 + 26 + 25 + 24

8.

How many ways can 6 paintings be arranged in a row on a wall?

a)

720

b)

6

c)

21

d)

36

9.

What is "!" called in counting methods?

a)

exclamation point

b)

factorial

c)

Multiply a lot

10.

What does "7!" mean for you to do?

a)

Scream 7 really loudly

b)

Type 7 into your calculator really hard

c)

7+6+5+4+3+2+17+6+5+4+3+2+1

d)

7×6×5×4×3×2×17\times6\times5\times4\times3\times2\times1