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 

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