In State X, all vehicle license plates have 3 letters from the 26 letters of the alphabet followed by 2 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?
Select the correct option.
A) 23,400 B) 60,840 C) 67,600 D) 608,400 E) 1,757,600
The choices give us the answer without any calculations--   2 one digits places can take 10*10 ways..   3 letter places can be filled up in 26 * 26 *26 ways   ans= 26*26*26*10*10= 
<gadget id="calculator">26*26*26*10*10</gadget>
<output>1_757_600</output>
1757600   ans 1,757,600
<result>E</result>
In State X, all vehicle license plates have 3 letters from the 26 letters of the alphabet followed by 2 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?