Explanation:

Clue 4: 738 (All digits are wrong)

We start here since it takes 7, 3, and 8 out of the combination. This gives us some groundwork and navigates us to the next clue where 3 and 8 are present.

Clue 5: 380 (One digit is right but in the wrong place)

We know from the previous clue that 3 and 8 are wrong, which makes 0 the right digit. But the clue tells us that it is in the wrongs place, which means 0 can be in either 1^st or 2^nd place.

Clue 3: 206 (Two digits are right but both are in the wrong place)

We already know that 0 is the right digit, which means either 2 or 6 is right. Since this clue states that the two right digits are in the wrong place, we now know that the 2^nd place is the wrong place for 0.

Moreover, we know that 0 cannot be placed in 3^rd place too. This gives us our first definitive answer, we can say that 0 is placed in the 1^st place.

Clue 1: 682 (One digit is right and in its place)

This clue sheds light on whether 6 is correct or not since we couldn't figure out on Clue #3. In this case, 6 is placed in the first position, which we know is the position of 0. Automatically, this makes 6 wrong, and 2 becomes the correct one.

Clue 2: 614 (One digit is right but in the wrong place)

We already know that 6 is not right, and 1 and 4 are our prime suspects. When we look at 4, we see that it is in the place of digit 2. So, now know that 4 is wrongly placed, and according to this clue, one digit is right but it is at the wrong place. Which is why 4 goes to the 2^nd place.

Thus, the code is 042.