SOLUTION: Standard automobile license plates in a country display 2 numbers, followed by 4 letters, followed by 2 numbers. How many different standard plates are possible in this system? (As

Algebra ->  Permutations -> SOLUTION: Standard automobile license plates in a country display 2 numbers, followed by 4 letters, followed by 2 numbers. How many different standard plates are possible in this system? (As      Log On


   

Question 1192161: Standard automobile license plates in a country display 2 numbers, followed by 4 letters, followed by 2 numbers. How many different standard plates are possible in this system? (Assume repetitions of letters and numbers are allowed.)
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Standard automobile license plates in a country display 2 highlight%28cross%28numbers%29%29 digits,
followed by 4 letters, followed by 2 highlight%28cross%28numbers%29%29 digits..
How many different standard plates are possible in this system?
(Assume repetitions of letters and numbers are allowed.)
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There are 26 letters and 10 digits.


The number of different standard plates is  10%5E2%2A26%5E4%2A10%5E2 = 4569760000.


The formula is SELF-EXPLANATORY.

Solved.