Answer:
042
Step-by-step explanation:
- Using the first clue, we know that either 6 or 2 is in the right place. 8 is not in the combination because in the fourth clue, it states that 8 is not in the combination at all.
- Using the second clue, we know that 1 or 4 is in the combination. 6 cannot be in the combination because this rule states that when 6 is in the front position, it is wrong, but in the first clue, when 6 is in the front position, it is right. From this, we know that 2 is in the right place. The last digit of the combination is 2.
- Using the third clue, we know that only two digits are right. Since we already know 6 is not in the combination, we know that both 0 and 2 are. This rule also states that 0 is not in the middle position. Since the last position is already taken by 2, that means the first digit of the combination is 0.
All we need now is the middle digit. Let's go back to clue 2. Either 1 or 4 is in the equation. 1 is not in the middle position and 4 is not in the last position. However, if 1 is not in the middle position, 1 is not in the combination because the last and first digits are already taken. Therefore, the middle digit of the combination is 4.
