A 3-digit number is called nice if it contains the digits 2 and 3, and the 2 appears before the 3. For example, 243 is nice. How many nice 3-digit numbers are there?
(123, 203, 213, 223, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 243, 253, 263, 273, 283, 293, 323, 423, 523, 623, 723, 823, 923) = Total = 27