Question

A state has license plates made with the form of AA-XXX, where A is a number with digits 1-7 and X is a letter with digits A-G. How many kinds of license plates are possible?

A)1,757,600 license plates
B)628,196 license plates
C)79,092 license plates
D)16,807 license plates

Answer 1

There are 117,649 possible license plates.

Step-by-step explanation:

To calculate the number of possible license plates, we need to consider the options for each digit. For the first two digits, there are 7 choices (digits 1-7). For the last three digits, there are 7 choices for each digit (letters A-G). Therefore, the total number of possible license plates is 7 * 7 * 7 = 343. However, since the letters can be repeated, we need to multiply by the number of possible arrangements of those letters. There are 7 * 7 * 7 * 7 * 7 * 7 = 117,649 possible arrangements of the letters. So, the total number of possible license plates is 7 * 7 * 7 * 7 * 7 * 7 = 117,649.