fundamental counting principle

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.   How many events are described here?

• 1
• 2
• 3
• 93

Tags

CCSS.3.OA.A.1

CCSS.3.OA.A.3

CCSS.3.OA.C.7

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

• 15
• 40
• 80
• 10

Tags

CCSS.HSS.CP.B.9

If I use the fundamental counting principle, how many different outcomes are there if I flip 4 different 2-sided coins?

• 8, because 4 x 2 = 8

• 6, because 4 + 2 = 6

• 16, because 2 x 2 x 2 x 2 = 16

• 256, because 4 x 4 x 4 x 4 = 256

Tags

CCSS.HSS.CP.B.9

The Palace of Pizza offers small, medium, or large pizzas with 14 different toppings available. How many different 1-topping pizzas do they serve?

• 3 x 14 = 42

• 3 + 14 = 17

• 14 x 14 x 14 = 2744

• 14 x 13 x 12 = 2184

Tags

CCSS.7.NS.A.2

CCSS.7.NS.A.3

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

Ella decided to take two classes during summer school. For first period, she can choose either math or English. For second period, she can choose either art, music, drama, or cooking. How many different schedules for the two classes are possible?

• 2

• 8

• 6

• 4