Question 199870
A license plate is to consist of three letters followed by two digits. How many different license plates are possible if the first letter must be a vowel (a, e, i, o, u), and repetition of letters is not permitted, but repetition of digits is permitted? 
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The 1st letter is 1 of 5.
The 2nd letter is 1 of 25. (It can't be the same as the 1st)
The 3rd letter is 1 of 24. (Can't be the same as 1st or 2nd)
4th and 5th are 1 of 10.
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5*25*24*10*10 = 300,000