Answer: 175760000
Step-by-step explanation:
We know that the total number of digits in the number system is 10 [0,1,2,3,4,5,6,7,8,9]
The total number of letters in English Alphabet = 26
Now, if standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed by 2 numbers, then the number of different standard plates are possible in this system (if repetition of letters and numbers is allowed)will be :_
[tex]= 10\times10\times26\times26\times26\times10\times10\\\\=175760000[/tex]
Hence, the number of different standard plates are possible in this system = [tex]175760000[/tex]
