Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Letters need to be distinct

Out of 26 alphabets two distinct letters can be chosen in  $26P2$ ways. Coming to numbers part, there are 10 ways.(any number from 0 to 9 can be chosen) to choose the first digit and similarly another 10ways to choose the second digit. Hence there are totally 10X10 = 100 ways. 

Combined with letters there are  $6P2$ X 100 ways = 65000 ways to choose vehicle numbers.