1. What is the least positive integer that contains each of the digits from 1 to 3 at least once and is divisible by 9?
AND
2. How many different counting numbers less than 200 are precisely divisible by either 6 or 9 or by both?
thx
1 - The smallest with at least one 1, or one 2, or one 3 that is divisible by 9 ==1,233
2 - [6 9 12 18 24 27 30 36 42 45 48 54 60 63 66 72 78 81 84 90 96 99 102 108 114 117 120 126 132 135 138 144 150 153 156 162 168 171 174 180 186 189 192 198] Total = 44 such counting numbers.
