In State X, all vehicle license plates have 4 letters from the 26 letters of the alphabet followed by 3 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?  Choose the correct choice from the following: A) 23,400 B) 60,840 C) 456,976,000 D) 608,400 E) 676,000
The choices give us the answer without any calculations--   3 one digits places can take 10*10*10 ways..   4 letters places can be filled up in 26*26*26*26 ways   ans= 26*26*26*26*10*10*10=456,976,000   ans 456,976,000
<result>C</result>
In State X, all vehicle license plates have 4 letters from the 26 letters of the alphabet followed by 3 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?