Question

Many license plates contain 6 characters, how many different license plates can be made if the first character

is a letter followed by 3 numbers, followed by 2 letters? Letters and numbers can be duplicated.

Answer 1

Explanation:

To calculate the number of different license plates that can be made if the first character is a letter followed by 3 numbers, followed by 2 letters, we can use the multiplication principle.

There are 26 letters in the alphabet and 10 digits (0-9). Therefore, there are 26 choices for the first letter, 10 choices for each of the next three digits, and 26 choices for each of the last two letters.

Using the multiplication principle, we can multiply these numbers together to get the total number of possible license plates:

26 × 10 × 10 × 10 × 26 × 26 = **45,697,600**.

Therefore, there are **45,697,600** different license plates that can be made if the first character is a letter followed by 3 numbers, followed by 2 letters.