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?
+37159 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
