Posted by Bo on .
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?
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)
I am assuming that letters and numerals may be repeated.