Divisible by 2 or 5 but not 3

How many five-digit numbers are divisible by 2 or 5, but not divisible by 3?

Difficulty level (1 very easy - 10 very hard): 3

Topics:
Number Theory -> Modular Arithmetic / Remainder Arithmetic -> Divisibility Rules -> Divisibility Rules by 3 and 9 Combinatorics -> Product Rule / Rule of Product
Sources:
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