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 the three letters must appear next to each other. how many distinct plates?

Guest Aug 2, 2021

#1**+2 **

he three letters can form 26 * 26 * 26 combos = 17576

they have four positions in the six string plate they can be in

17576 x 4

then the remaining 3 numbers can form 1000 combos

17576 * 4 * 1000 = ________ combos

ElectricPavlov Aug 2, 2021