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Problem 686

AMC 10/12, early questions

Number theory Difficulty 3.0 Find the answer UKMT Pink Kangaroo · United Kingdom · 2020

The digits from $1$ to $9$ are randomly arranged to make a $9$ -digit number. What is the probability that the resulting number is divisible by $18$ ?

(A) $\frac{1}{3}$ (B) $\frac{4}{9}$ (C) $\frac{1}{2}$ (D) $\frac{5}{9}$ (E) $\frac{3}{4}$

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