NGPF 10.1 Counting Principles

Laila would like to open a bank account to save money.

She can choose from 5 different banks that are located nearby and each bank offers a traditional savings account, a money market account and a longer term Certificate of Deposit (CD).

How many different ways can Laila choose a bank and an account type?

(a)  

Tags

CCSS.HSS.CP.B.9

What issues do you see with relying on tree diagrams and listing sample spaces to count outcomes?

• These methods are highly efficient and scalable.

• These methods take a long time to list and diagram, and counting individual outcomes will become increasingly difficult to create with larger numbers.

• These methods do not allow for the use of modern technology.

• These methods are universally applicable to all types of problems.

Tags

CCSS.7.SP.C.8

How many different 5-digit zip codes are there if digits can be repeated?

(a)  

How many different 5-digit zip codes are there if digits can be repeated but it can't start with a zero?

(a)  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

How many different 5-digit zip codes are there if digits can’t be repeated?

(a)  

Tags

CCSS.HSA.CED.A.1

What is 3! ?

(a)  

What is 8! ?

(a)  

You are buying a car and can choose from 2 different models and 4 different colors.

How many different cars could you purchase?

• 2

• 4

• 6

• 8

• 16

Tags

CCSS.HSS.CP.B.9

How many different ways can you arrange 7 students in a row of desks?

• 5040

• 720

• 120

• 40320

• 840

Tags

CCSS.HSS.CP.B.9

You visit the ice cream shop on vacation.

Your flavor choices are vanilla or chocolate; the toppings are sprinkles, nuts, or cherries; and the sauces are caramel, whipped cream, or chocolate syrup.

How many different ice cream sundaes exist consisting of one flavor of ice cream, one topping and one sauce?

• 6

• 9

• 18

• 27

• 12

Tags

CCSS.3.OA.A.1

CCSS.3.OA.A.3

CCSS.3.OA.C.7