# Algebra

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A state's license plates consist of four letters followed by three numerals, and 241 letter arrangements are not allowed. How many plates can the state issue?

• Algebra -

isn't it:
[(26^4)+ (10^3)]-241

• Algebra -

with no restrictions:
number of plates = 26^4 x 10^3

241 letter combinations are not allowed, there would be 241(10^3) or 241000 of those

number of plates = 26^4 x 1000 - 241x1000
=1000(26^4 - 241)
= 456,735,000

I am assuming that letters and numerals may be repeated.

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