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Daily
Brain Teaser / Puzzle
May 23, 2007
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The problem is to find three different digits such that, in whatever order they are used to make a three-digit number, that number will not be divisible by:
3,5,7,11,13,or17
Furthermore, since more than one solution is possible, we are looking for the three digits whose product is the greatest.
To ensure that there is no ambiguity, suppose the three digits are a, b, and c. Then, none of the numbers:
abc, acb, bac, bca, cab, and cba
will divide by 3, 5, 7,11,13, or 17
and also the product of a x b x c must be as large as possible.
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THE
SOLUTION
The three digits are 2, 4, and 8.
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