# SOLUTION: In a particular state, license plates must consist of 3 letters followed by 3 numbers. How many such plates exist if the first letter cannot be a z and the plate contains at least

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 Click here to see ALL problems on Probability-and-statistics Question 532030: In a particular state, license plates must consist of 3 letters followed by 3 numbers. How many such plates exist if the first letter cannot be a z and the plate contains at least one 4? What threw me off is the at least one 4 part.Answer by stanbon(57347)   (Show Source): You can put this solution on YOUR website!In a particular state, license plates must consist of 3 letters followed by 3 numbers. How many such plates exist if the first letter cannot be a z and the plate contains at least one 4? -------------------------------- # of plates = # possible - # with no 4's ---- # possible = 25*26^2*10^3 = 16900000 # with no 4's = 25*26^2*9^3 = 12320100 ---- # of plates = 16900000-12320100 = 4579900 ================= Cheers, Stan H. ==============