SOLUTION: Show that the set of natural numbers whose decimal digits are all even and different is finite.

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Question 1026902: Show that the set of natural numbers whose decimal digits are all even and different is finite.
Answer by richard1234(7193) About Me  (Show Source):
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There are only five even decimal digits (0,2,4,6,8) and any natural number formed from some of these digits has at most 5 digits. Since there are only a finite number of natural numbers of at most 5 digits, this set is finite.