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2015-10-12T18:41:06+08:00

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2, 4, and 0?

Those are starting on 2-
204
240

Those are starting on 4
420
402

Those are starting on 0 (this is not a 3-digit number, but 2 digit number so not considered)
024
042

So totally, we have 4.

Simpler Solution:
2 (2 and 4) x 3 (3 digit numbers) - 2 (0)
6 - 2
4

and those are: 204, 240, 420, and 402.
0