Fundamental Counting Principle

State whether the events are independent or dependent.

Choosing a president, vice president, secretary, and treasurer from the student body.

• independent

• dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

State whether the events are independent or dependent.

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

• independent

• dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

State whether the events are independent or dependent.

Each of six people guess the total number of points scored in a game. Each person writes down their guess without telling what it is.

• independent

• dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.A.5

State whether the events are 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.2

CCSS.HSS.CP.A.3

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

Three students are scheduled to give oral reports on Monday. In how many ways can their presentations be ordered?

• 3 x 2 x 1 = 6

• 3 x 3 x 3 = 27

• 3 + 3 + 3 = 9

• 3 + 2 + 1 = 6

Tags

CCSS.HSS.CP.B.9

In how many ways can the first five letters of the alphabet be arranged if each letter is used only once?

• 5 x 4 x 3 x 2 x 1 = 120

• 5 x 5 x 5 x 5 x 5 = 3125

• 26 x 26 x 26 x 26 x 26 = 11881376

• 5 + 5 + 5 + 5 + 5 = 25

Tags

CCSS.HSS.CP.B.9

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

A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert?

• 5 x 3 x 4 = 60

• 5 + 3 + 4 = 12

Tags

CCSS.HSS.CP.B.9

In how many different ways can 4 different books be arranged on the shelf?

• 4 x 3 x 2 x 1 = 24

• 4 x 4 x 4 x 4 = 256

• 4 + 3 + 2 + 1 = 10

• 4 + 4 + 4 + 4 = 16

Tags

CCSS.HSS.CP.B.9