SOLUTION: In Minnesota, license plates have 3 letters followed by 3 numbers or vice versa. You can repeat no more than two letters in any order. How many possible license plates are there?

Algebra ->  Permutations -> SOLUTION: In Minnesota, license plates have 3 letters followed by 3 numbers or vice versa. You can repeat no more than two letters in any order. How many possible license plates are there?       Log On


   



Question 747297: In Minnesota, license plates have 3 letters followed by 3 numbers or vice versa. You can repeat no more than two letters in any order. How many possible license plates are there?
Must show all work, can someone please assist me?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In Minnesota, license plates have 3 letters followed by 3 numbers or vice versa. You can repeat no more than two letters in any order. How many possible license plates are there?
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Pattern: LLLNN or NNNLL
# of ways to succeed:
with pattern LLLNN: 26^2*25*10^2
with pattern NNNLL: 10^3*26^2
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Ans: Add to get the answer.
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Note: Your "vice versa" can be interpreted in more than one way.
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Cheers,
Stan H.
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