From Clues 1 + 2 we know that 6 is not in the answer. Therefore...

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    From Clues 1 + 2 we know that 6 is not in the answer.
    Therefore with clue 3 we know that the correct answer includes 2 and 0 but in different positions.
    Therefore from clue 1 we know that 8 is not in the answer and #2 must be in position 3. (? ? 2).
    Therefore from clue 3 we know that 0 must be in position 1 (0 ? 2).
    Therefore from clue 2 we know that number 4 must be in position 2, so the answer is (0 4 2).

    Each time we get an extra bit of information we need to go back and read each of the hints again.
 
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