Fundamental Counting Principle

State whether the event is independent or dependent:

choosing a president, vice president, secretary, and treasurer for student council if no one can hold two positions.

• independent

• dependent

Tags

CCSS.HSS.CP.A.5

State whether the event is independent or dependent:

selecting a fiction book and a nonfiction book at the library.

• independent

• dependent

Tags

CCSS.HSS.CP.A.5

State whether the event is independent or dependent:

The letters A through Z are written on pieces of paper and placed in a jar. Four of them are selected one after the other without replacing any of them.

• independent

• dependent

Tags

CCSS.HSS.CP.A.5

Tim wants to buy one of three different albums he sees in a music store. Each is available on vinyl and on CD. From how many combinations of album and format does he have to choose?

• 5

• 6

• 3

• 2

Carlos has homework to do in math, chemistry, and English. How many ways can he choose the order in which to do his homework?

• 3

• 6

• 9

• 27

A golf club manufacturer makes drivers with 4 different shaft lengths, 3 different lofts, 2 different grips, and 2 different club head materials. How many different combinations are possible?

• 11

• 12

• 24

• 48

Each question on a five-question multiple-choice quiz has answer choices labeled A, B, C, and D. How many different ways can a student answer the five questions?

• 20

• 64

• 256

• 1024

How many ways can six different books be arranged on a shelf if one of the books is a dictionary and it must be on an end?

• 720

• 120

• 3125

• 240

In how many orders can eight actors be listed in the opening credits of a movie if the leading actor must be listed first or last?

• 5040

• 40320

• 720

• 10080

Abby is registering at a Web site. She must select a password containing 6 numerals to be able to use the site. How many passwords are allowed if no digit may be used more than once?

• 720

• 3628800

• 151200

• 1000000