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

Answer: Option B

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 10 ways to choose the second digit.
Hence, there are totally 10 × 10 = 100 ways.
Combined with letters there are,
²⁶P₂ × 100 = 65000 ways to choose vehicle numbers.