Find the number of positive integers that satisfy both the following conditions:
Each digit is a 1 or a 2 or a 3
The sum of the digits is 5
23 , 32 , 113 , 122 , 131 , 212 , 221 , 311 , 1112 , 1121 , 1211 , 2111 , 11111 , Total = 13 such integers.
