Each license plate in a certain state has six characters with repeats allowed here are the possibilities for each character

First: The digits 1 2 3 4 or 5
Second: the 26 letters of the alphabet
Third: the 26th letters of the alphabet
Fourth: the 10 digits 0 through 9
Fifth: the 10 digits 0 through 9
6th: the 10 digits 0 through 9
How many license plates are possible in this state

1 answer

Since each license plate has six characters and repeats are allowed for each character, we can find the total number of possibilities for each character and multiply them together to get the total number of possible license plates.

For the first character, there are 5 possibilities (digits 1 through 5).
For the second character, there are 26 possibilities (letters of the alphabet).
For the third character, there are 26 possibilities (letters of the alphabet).
For the fourth character, there are 10 possibilities (digits 0 through 9).
For the fifth character, there are 10 possibilities (digits 0 through 9).
For the sixth character, there are 10 possibilities (digits 0 through 9).

To find the total number of possible license plates, we multiply the number of possibilities for each character:

Total = 5 * 26 * 26 * 10 * 10 * 10 = 3,380,000

Therefore, there are 3,380,000 possible license plates in this state.