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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?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Digital Division
Age 11 to 14
ShortChallenge Level 
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?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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