Counting Rules practice worksheet #1

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

There are 2 teachers teaching Economics, 3 teachers teaching Algebra 2, and 3 teachers teaching English 4. If these are the only classes a student needs, how many ways can the schedule be set up?

At an ice cream shop, there are 3 different cone types, 10 different ice cream flavors, and 5 different topping choices. You are choosing a cone with only one topping. How many possible choices do you have?

There are four different processes in the preparation of a certain product. These processes can be performed in any order. If the management wants to see which order is the fastest, how many different orders will have to be tested?

You want to visit 12 teachers when you come home on break from your first semester at college. In how many ways can you visit all 12 teachers?

Markeita is walking dogs to earn some extra money. She has 7 dogs to walk today and they can be walked in any order. In how many ways can she walk all the dogs?

Many license plates consist of three letters followed by three digits. 

How many plates are possible if both letters and digits can be repeated?

Many license plates consist of three letters followed by three digits.

How many plates are possible if letters can be repeated, but digits cannot?

Many license plates consist of three letters followed by three digits. 

How many plates are possible if letters cannot be repeated, but digits can?

Many license plates consist of three letters followed by three digits. 

How many plates are possible if no repetitions are allowed?