Calculating License Plate Combinations

The video tutorial explains how to calculate the number of possible standard automobile license plates using the counting principle. It breaks down the problem into seven independent events, involving the selection of numbers and letters, and calculates the total outcomes by multiplying the possibilities for each event. The tutorial concludes with the final calculation, showing that there are 175,760,000 possible license plates.

What is the format of a standard license plate in the discussed system?

• Three letters followed by four digits

• Four digits followed by two letters

• One digit followed by three letters and three digits

• Two digits followed by four letters

What principle is used to solve the problem of calculating the number of possible license plates?

• Exclusion principle

• Counting principle

• Accounting principle

• Probability principle

How many independent events are considered in the calculation of license plate combinations?

• Seven

• Six

• Five

• Eight

How many possible outcomes are there for selecting a single digit in the license plate?

• Fifteen

• Twenty

• Five

• Ten

How many ways can each letter be selected for the license plate?

• Twenty-six

• Twenty-four

• Twenty

• Twenty-five

What is the total number of possible outcomes for the license plates?

• One hundred million

• One hundred seventy-five million, seven hundred sixty thousand

• Two hundred million

• Fifty million

What mathematical operation is used to find the total number of possible license plates?

• Subtraction

• Addition

• Division

• Multiplication

What is the expression used to represent the total number of possible license plates?

• 10^3 * 26^4

• 10^4 * 26^3

• 10^2 * 26^5

• 10^5 * 26^2

What is the significance of allowing repetition in the selection of letters and digits?

• It reduces the number of possible combinations

• It increases the number of possible combinations

• It has no effect on the number of combinations

• It makes the calculation more complex

Tags

CCSS.6.EE.A.2C

What is the final step in the calculation process as described in the video?

• Using a calculator

• Revising the assumptions

• Rewriting the expression

• Checking for errors

Tags

CCSS.6.EE.A.2C