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Solution: The code fixes 4 digits (D, E, F) and permutes only A, B, C in the remaining 3 positions. The total number of permutations of A, B, C is $3! = 6$. Among these, the number of permutations where A comes before B is exactly half, since in half the arrangements A precedes B and in half B precedes A (the cases are symmetric).
Thus, number of valid codes where A comes before B is:
Since the outer digits are fixed, this counts the number of valid codes satisfying the constraint.

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