## Problem of the Day #350: Swapping Number Bases
*March 3, 2012*

*Posted by Alex in : potd , trackback*

Find the number of ordered triples $(A, B, C)$, where each letter represents a single digit, such that the set $\{AB_C, AC_B, BA_C, BC_A, CA_B, CB_A\}$ contains at most four distinct numbers?

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