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In the given number 348838, there are 6 digits;
of them, digit "3" has multiplicity 2 and digit "8" has multiplicity 3.
Therefore, the number of distinguishable permutations is = = 60. ANSWER
Solved.
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NOTICE: In this problem, there is only one given number;
therefore, grammatically and logically correct is to use single " number " instead of plural " numbers ".