Fundamental Counting Principle Practice

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?

• 36

• 64

• 720

• 46656

Tags

CCSS.HSS.CP.B.9

If you roll two dice, how many possible outcomes?

• 360
• 1
• 36
• 12

Tags

CCSS.HSS.CP.A.1

Yummy-Yum has prepared cupcakes with five different toppings: sprinkles, coconut, chocolate chip, oreo crumbles, and M&M’s. In how many ways can they arrange three of the cupcakes in a display case?

• 60

• 125

• 15

• 12

Tags

CCSS.HSS.CP.B.9

Which method of finding the total outcomes of an event allows you to see all possible outcomes?

• fundamental counting principle
• experimental probability
• theoretical probability
• tree diagram

Tags

CCSS.HSS.CP.A.1

Find the total number of outcomes for picking a day of the week and a month of the year.

• 19
• 84
• 60
• 210

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.CP.A.1

The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?

• 4 x 4 x 4 x 4 = 256

• 4 x 3 x 2 x 1 = 24

• 4 + 4 + 4 + 4 = 16

• 4 + 3 + 2 + 1 = 10

Tags

CCSS.HSS.CP.B.9

How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?

• 26 x 25 x 24 x 10 x 9 x 8 = 11232000

• 26 x 26 x 26 x 10 x 10 x 10 = 17576000

• 26 x 25 x 24 x 9 x 8 x 7 = 7862400

• 26 x 26 x 26 x 9 x 9 x 9 = 12812904

Tags

CCSS.HSS.CP.B.9

How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?

• 26 x 26 x 26 x 10 x 10 x 10 = 17576000

• 26 x 25 x 24 x 10 x 9 x 8 = 11232000

• 26 x 26 x 26 x 9 x 9 x 9 = 12812904

• 26 x 25 x 24 x 9 x 8 x 7 = 7862400

Tags

CCSS.HSS.CP.B.9

In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?

• 6760

• 62

• 2600

• 6084

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9