Question

tandard automobile license plates in a country display 1 numbers, followed by 2 letters, followed by 4 numbers. How many different standard plates are possible in this system? (Assume lead 0 is not allowed, but repetitions of letters and numbers are allowed.)

Answer 1

The number of different standard plates possible in this system is 6,760,000.

Step-by-step explanation:

To calculate the number of different standard plates possible in this system, we need to consider the number of choices for each component of the license plate.

The first number can be any digit from 0 to 9, so there are 10 choices.

The two letters can each be any letter of the alphabet, so there are 26 choices for each letter. Finally, the four numbers can each be any digit from 0 to 9, so there are 10 choices for each number.

To find the total number of possible plates, we multiply the number of choices for each component:

10 choices for the number, 26 choices for the first letter, 26 choices for the second letter, and 10 choices for each of the four numbers.

Using the multiplication principle, the total number of different standard plates is 10 * 26 * 26 * 10 * 10 * 10 * 10 = 6,760,000.