divisiblity by 3 (a problem in combinatorics)

Discrete Mathematics Level pending

Given the digits 0, 1, 2, 3, 4, 7 and 8, how many 5-digit numbers can be formed which are divisible by 3 using only the given digits. Each digit can be used at most once.

(Eg: 12348 and 84321 are two such possible numbers)

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