Answer:
The number of possible license plates is 4,569,760
Step-by-step explanation:
The license plates have the format:
LLLDDL
Where L is for Letters and D is for digits. There are 26 different letters and 10 different digits.
The first group LLL can be filled with letters (with possible repetitions) in [tex]26^3[/tex] different combinations.
The second group DD can be filled with digits with possible repetitions is [tex]10^2[/tex] combinations.
The last letter can be filled in 26 different ways.
Thus the total possible combinations are:
[tex]26^3*10^2*26=17,576*100*26=4,569,760[/tex]
The number of possible license plates is 4,569,760
