Answer :
Answer:
The maximum number of plates are 1,572,120,576.
Step-by-step explanation:
Consider the provided information.
A letter from the set {A, ..., Z}, followed by a five-character alphanumeric string (using symbols from the set {A, ..., Z, 0, 1, ..., 9}).
There are 26 alphabets, and 0 to 9 there are 10 digits.
Therefore, the set of letters for five-character alphanumeric string is: [tex](26+10)^5=36^5[/tex]
Province is followed by a letter from the set of {A, ..., Z}.
Thus the maximum number of plates are: [tex]26\times 36^5=1572120576[/tex]
Hence, the maximum number of plates are 1,572,120,576.