A state's license plates consist of four letters followed by three numerals, and 245 letter arrangements are not allowed. How many plates can the state issue?

Question

anonymous · Answer

four letters $26^4$
the numerals $10^3=1000$ so by the counting principle 
$$26^4\times 10^3$$ but i guess you have to subtract something

anonymous · Answer

need to subtract $245,000$ to account for the $245$ not permissible letter arrangements

anonymous · Answer

but subtract what number is the answer 1000

anonymous · Answer

no not 1000

anonymous · Answer

You have: $$26^{3} \times 10^{3} = 17,576,000$$different ways but 249 ways are not allowed. So you really have $$17,576,000-249 = 17,575,751 $$different ways.

anonymous · Answer

number of possible letter arrangements is actually 
$$26^4-245$$

anonymous · Answer

@Rachella i think you need to subtract more

anonymous · Answer

Okay but with the same numbers because am not sure

anonymous · Answer

and 245 letter arrangements are not allowed

anonymous · Answer

number of possible letter arrangements is $$26^4-245$$ number of total arrangements therefore is 
$$(26^4-245)\times 1000$$

anonymous · Answer

Oh let me see what I get

anonymous · Answer

For some reason it not allowing me to get the answer on the calculator

anonymous · Answer

I got an answer of 456731000 is that right