27

Number Theory Level pending

The $$\overline{abc}$$ is a three-digit positive integer, so that both of $$\overline{a}$$ and $$\overline{b}$$ are bigger than $$0$$. We know that $$27$$ is a divisor of $$\overline{abc}$$. What is the probality that the $$\overline{bca}$$ number is also divisible by $$27$$?

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