SOLUTION: A license plate is to consist of three digits followed by two uppercase letters. Determine the number of different license plates possible if. Repetition of numbers and letters is

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Question 550552: A license plate is to consist of three digits followed by two uppercase letters. Determine the number of different license plates possible if. Repetition of numbers and letters is not permitted.
Answer by TutorDelphia(193) About Me  (Show Source):
You can put this solution on YOUR website!
For the first digit I have 10 options (0 to 9) for the next I have 9 since I can't repeat the one I chose, and then 8. With numbers I start fresh with 26 letters and then since one is used, 25 options.
From the fundamental counting theorem I just multiply all my possibilities together and get:
10*9*8*26*25=468000