Counting Principles and Combinations

The video tutorial introduces the fundamental counting principle, demonstrating how to calculate the number of possible outcomes for various scenarios. It covers examples such as ordering meals, generating Social Security numbers, creating phone numbers with restrictions, and arranging cars on a carrier truck using factorials.

What is the fundamental counting principle used for?

• To divide the number of ways events can occur

• To multiply the number of ways events can occur

• To subtract the number of ways events can occur

• To add the number of ways events can occur

If a restaurant offers 4 appetizers, 8 drinks, 5 main dishes, and 2 desserts, how many different meal combinations can be made?

• 80

• 640

• 160

• 320

How many digits are in a Social Security number?

• 9

• 10

• 8

• 7

How many different Social Security numbers can be created?

• 1 billion

• 100 million

• 10 million

• 1 million

For a 7-digit phone number, if the first digit cannot be 0 or 1, how many choices are there for the first digit?

• 7

• 9

• 6

• 8

How many different 7-digit phone numbers can be created if the first digit cannot be 0 or 1?

• 8 million

• 14 million

• 10 million

• 12 million

What is the factorial of 5?

• 120

• 60

• 100

• 150

How many different ways can 5 cars be arranged on a truck?

• 120

• 150

• 100

• 60

What happens to the number of choices as each car is placed on the truck?

• It decreases

• It increases

• It stays the same

• It doubles

Which mathematical concept is used to calculate the number of ways to arrange cars on a truck?

• Subtraction

• Division

• Addition

• Factorial