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UKMT Senior Mathematical Challenge, 2009

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Consider all three-digit numbers formed by using different digits from 0, 1, 2, 3 and 5. How many of these numbers are divisible by 6?

(A) $4$ (B) $7$ (C) $10$ (D) $15$ (E) $20$

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