In State X, all vehicle license plates have 3 letters from the 26 letters of the alphabet followed by 4 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed? Choices:  A) 23,400  B) 60,840  C) 67,600  D) 608,400  E) 175,760,000
The choices give us the answer without any calculations--   4 one digits places can take 10*10*10*10 ways..   3 letters places can be filled up in 26*26*26 ways   ans= 26*26*26*10*10*10*10=175,760,000   ans 175,760,000
<result>E</result>
In State X, all vehicle license plates have 3 letters from the 26 letters of the alphabet followed by 4 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?