1. Find the total number of distinct vehicle numbers that can be formed using two
letters followed by two numbers. Letters need to be distinct.
Solutions : 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 10X10 = 100 ways. Combined with letters there are 6p2 X 100 ways = 65000 ways to choose vehicle numbers.
Rav Singh Cetking
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