Counting Principles Challenge

If a train has 3 different routes and each route has 4 different stops, how many total stop options are there?

• 15

• 8

• 10

• 12

You are planning a wedding with 3 different venues, 2 catering options, and 4 decoration themes. How many unique combinations can you create?

• 24

• 36

• 12

• 18

At a fast food restaurant, you can choose 1 of 3 burgers, 1 of 2 drinks, and 1 of 5 sides. How many meal combinations can you order?

• 40

• 15

• 25

• 30

You are assembling a computer and have 2 options for the CPU, 3 options for the motherboard, and 4 options for the RAM. How many different computer configurations can you create?

• 18

• 30

• 24

• 12

If a password must contain 3 letters followed by 2 numbers, how many unique passwords can be formed using 26 letters and 10 digits?

• 123,456

• 175,760

• A1B2C3

• ABC12

You are organizing a conference with 4 different speakers, 3 workshop topics, and 2 networking events. How many unique schedules can you create?

• 36

• 12

• 24

• 18

At a coffee shop, you can choose 1 of 3 types of coffee, 1 of 9 pastries, and 1 of 4 types of milk. How many different combinations can you order?

• 9

• 27

• 36

• 108

You are creating a custom pizza with 10 types of cheese, 5 toppings, and 3 crust options. How many different pizza combinations can you make?

• 50

• 100

• 150

• 200

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

• 45

• 54

• 90

• 270

The Fundamental Counting Principle allows you to...

• make listing easier.

• determine the number of total outcomes in your sample.

• count how many times you must do a tree diagram

• see how many outcomes will not show up on a tree diagram.