SOLUTION: A motorcycle license plate had three digits followed by two letters. The first digit can't be zero or one. The second and third digits can be any digit. None of the letters can

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Question 1189800: A motorcycle license plate had three digits followed by two letters. The first digit can't be zero or one. The second and third digits can be any digit. None of the letters can be I, O and U. With these restrictions, how many different license plates are possible?

Answer by math_helper(2461) (Show Source):
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If you think of the plate has having 5 characters, then:
The first character has 8 possible values ('2', '3', ..., '9')
The 2nd character has 10 possible values
The 3rd character has 10 possible values
The 4th character has 23 possible values (the 26 letters of the alphabet minus 'I', 'O', and 'U')
The 5th character has 23 possible values
In all, there are 8*10*10*23*23 = 423200 possible values
The above assumes the letters are upper case only