In State X, all vehicle license plates have 1 letter 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?  Choose one
A) 23,400
B) 60,840
C) 67,600
D) 608,400
E) 260,000
The choices give us the answer without any calculations--   4 one digits places can take 10*10*10*10 ways..   1 letter places can be filled up in 26 ways   ans= 26*10*10*10*10= 
<gadget id="calculator">26*10*10*10*10</gadget>
<output>260_000</output>
260000   ans 260,000
<result>E</result>
In State X, all vehicle license plates have 1 letter 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?