Understanding the Fundamental Counting Principle

The video tutorial explains the fundamental counting principle using a shopping scenario where a person wants to buy a shirt, shorts, and shoes available in different colors. It demonstrates how to calculate the total number of possible combinations using multiplication. The tutorial also provides examples, such as a coin flip and die roll, and a four-digit pin code, to illustrate the principle. The video concludes with a brief mention of additional resources.

What is the total cost of buying a shirt, shorts, and shoes during the sale?

• $59.99

• $39.99

• $69.99

• $49.99

How many different colors are available for the shirts?

• 5

• 6

• 7

• 8

According to the fundamental counting principle, how do you calculate the total number of possibilities for a sequence of events?

• Divide the number of possibilities for each event.

• Add the number of possibilities for each event.

• Multiply the number of possibilities for each event.

• Subtract the number of possibilities for each event.

How many total combinations of shirt, shorts, and shoes are possible?

• 140

• 150

• 120

• 130

In the tree diagram example, how many possible outcomes are there for a coin flip and a die roll?

• 13

• 12

• 11

• 10

How many possibilities are there for each event in a four-digit PIN code?

• 10

• 9

• 8

• 11

What is the total number of possible four-digit PIN codes?

• 1,000,000

• 100,000

• 10,000

• 1,000

Which mathematical principle is used to determine the number of possible sequences in the examples?

• Addition Principle

• Division Principle

• Fundamental Counting Principle

• Subtraction Principle

What is the main purpose of the video tutorial?

• To teach how to shop effectively.

• To show how to calculate discounts.

• To explain the fundamental counting principle.

• To demonstrate how to create a tree diagram.