Answer: [tex]24336000[/tex]
Step-by-step explanation:
The total number of digits = 10
The total number of letters in English alphabet = 26
Now, if three letters (A ... Z) followed by three digits (0 ... 9) , then the number of different codes can be made:_
[tex]26\times26\times26\times10\times10\times10=17576000[/tex]
If two letters followed by four digits, the number of different codes can be made:_
[tex]26\times26\times10\times10\times10\times10=6760000[/tex]
Now, the total number of different license plates are possible :
[tex]17576000+6760000=24336000[/tex]
The total number of different license plates are possible[tex]=24336000[/tex]
