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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

 Sep 3, 2022
 #1
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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.

 Sep 3, 2022

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