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?

Guest Aug 2, 2021

#1**+1 **

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

ElectricPavlov Aug 2, 2021