A license plate in a certain state consists of three digits, not necessarily distinct, and three letters, also not necessarily distinct. These six characters may appear in any order, except that no two letters can be next to each other. How many distinct plates?
+37159 Letter combos = 26 x 26 x 26
can occupy two positions (to remain separated)
like this x o x o x o or o x o x o x
the other three can be the number combos 10 x 10 x 10 = 1000
26 x 26 x 26 x 2 x 1000 = ____________ combos
