a numeric lock has a three digit key. hint :3,6,8 (one number is correct and well placed), 2, 7 6 (one number is correct and wrong placed), 3, 8, 7 (nothing is correct),4, 7, 1 (two numbers are correct and wrong placed)
Answers
Answer:
164
Step-by-step explanation:
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Answer:
164
Step-by-step explanation:
From the last and the second last hint i.e.
3,8,7 (nothing is correct) and,
4,7,1 (two numbers are correct and wrongly placed)
We can see that 4 and 1 must be included in the password as the last hint said, two numbers are correct. The last second hint include 7, so 7 is not correct. Thus, 4 and 1 must be included in the password.
From the last second hint, we can see that 3 and 8 are wrong. And, in the first hint, there is only a single number correct from 3, 6 , 8. But, we know that 3 and 8 are wrong from the last second hint. Thus, 6 must be a number included in the password.
So, we now have 6, 4 and 1.
The last hint (4,7,1) states that two numbers (4 and 1) are wrongly placed. So, 1 is not the last digit and 4 is not the first digit.
The second hint (2,7,6) states that one correct digit (6) is wrongly placed. So, 6 cannot be the last digit.
As 1 and 6 cannot be the last digit, 4 must be the last digit.
As the first hint (3,6,8) suggests, 6 must be in the middle.
So, we are left with 1 and a place in the first position of the digit. Thus, 1 must be the first digit of the password.
Answer: 164