SOLUTION: Standard automobile license plates in a country display 1 numbers, followed by 3 letters, followed by 3 numbers. How many different standard plates are possible in this system? (As

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Question 595567: Standard automobile license plates in a country display 1 numbers, followed by 3 letters, followed by 3 numbers. How many different standard plates are possible in this system? (Assume lead 0 is not allowed, but repetitions of letters and numbers are allowed.)
Answer by math-vortex(648) About Me  (Show Source):
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Standard automobile license plates in a country display 1 numbers, followed by 3 letters, followed by 3 numbers. How many different standard plates are possible in this system? (Assume lead 0 is not allowed, but repetitions of letters and numbers are allowed.)
Hi there--
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The counting principle say that we multiply the number of ways for each of these events together to get the total number of ways to get a license plate.
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number of ways to get the 1st number (the digits 1 through9): 9 ways
number of ways to get the first letter: 26 ways
number of ways to get the next letter (repetitions OK): 26 ways
number of ways to get the third letter: 26 ways
number of ways to get the next number (0 is OK): 10 ways
number of ways to get the next number (repetitions OK): 10 ways
number of ways to get the next number: 10 ways
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Total number of ways to get a license plate:
%289%29%2826%29%2826%29%2826%29%2810%29%2810%29%2810%29=158184000
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There are 158,184,000 ways to create a license plate in this system.
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Hope this helps! Feel free to email me if the explanation is unclear.
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Ms.Figgy
math.in.the.vortex@gmail.com