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Another contributor qualified the first answer:
The first answer is correct, except for 39, 48, 57, 66, 75, 84, and 93.
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Twelve of them.
May have missed a few, there's twelve:152433425160105114123132141150
10 digits are numbers in the billions.
there are 899 whole numbers that have three digits.
There are twelve possible solutions using the rule you stated... 13,14,17,31,34,37,41,43,47,71,73 & 74