Question 511802
Since the repetition is allowed and you have 26 letters and 10 numbers. It is benefit for use draw a picture like _ _ _ _ _ _

The first one is a letter, we have 26 choices
The second one is a number, we have 10 choices (from 0 to 9)
----third --------------------------------------------------
----fourth one----------------------------------------------
---fifth----------------------------------------------------
---sixth---------------------------------------------------
Thus the number of license plate numbers are 26 * 10 * 10 * 10 * 10 *10 = 26 * 10^5
John10:)