Hacking a Safe Lock after 3 tries












11












$begingroup$


My friend has a safe lock, with a numeric password of 4 digits (varying between 0-9 each). She lost the password and looked for my help. Fortunately, I was able to hack it. I could try some different combinations and check how many numbers I got right.



I tried the number 8086 => Only 1 number is right, but in the wrong position.



I tried the number 8857 => Only 1 number is right, but in the wrong position.



I tried the number 0159 => You got 3 numbers right, all in the correct position.



And then the hack stopped working. If I insert just one wrong number, the safe lock will break.



Am I able to open this lock with the information provided by my hack? If so, what is the password?










share|improve this question









$endgroup$

















    11












    $begingroup$


    My friend has a safe lock, with a numeric password of 4 digits (varying between 0-9 each). She lost the password and looked for my help. Fortunately, I was able to hack it. I could try some different combinations and check how many numbers I got right.



    I tried the number 8086 => Only 1 number is right, but in the wrong position.



    I tried the number 8857 => Only 1 number is right, but in the wrong position.



    I tried the number 0159 => You got 3 numbers right, all in the correct position.



    And then the hack stopped working. If I insert just one wrong number, the safe lock will break.



    Am I able to open this lock with the information provided by my hack? If so, what is the password?










    share|improve this question









    $endgroup$















      11












      11








      11





      $begingroup$


      My friend has a safe lock, with a numeric password of 4 digits (varying between 0-9 each). She lost the password and looked for my help. Fortunately, I was able to hack it. I could try some different combinations and check how many numbers I got right.



      I tried the number 8086 => Only 1 number is right, but in the wrong position.



      I tried the number 8857 => Only 1 number is right, but in the wrong position.



      I tried the number 0159 => You got 3 numbers right, all in the correct position.



      And then the hack stopped working. If I insert just one wrong number, the safe lock will break.



      Am I able to open this lock with the information provided by my hack? If so, what is the password?










      share|improve this question









      $endgroup$




      My friend has a safe lock, with a numeric password of 4 digits (varying between 0-9 each). She lost the password and looked for my help. Fortunately, I was able to hack it. I could try some different combinations and check how many numbers I got right.



      I tried the number 8086 => Only 1 number is right, but in the wrong position.



      I tried the number 8857 => Only 1 number is right, but in the wrong position.



      I tried the number 0159 => You got 3 numbers right, all in the correct position.



      And then the hack stopped working. If I insert just one wrong number, the safe lock will break.



      Am I able to open this lock with the information provided by my hack? If so, what is the password?







      combinatorics mastermind






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked yesterday









      ChaoticChaotic

      542214




      542214






















          1 Answer
          1






          active

          oldest

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          12












          $begingroup$

          I think the correct password is




          0179




          Reasoning




          Combining the second and third clues tells us that '5' is not in the combination, otherwise it would be in the correct position in the second combination. Therefore, 0, 1, and 9 are all in the correct position in the last combination. The first clue tells us that the third digit is not 8. Using the second clue again, the only remaining option is 7.







          share|improve this answer









          $endgroup$













          • $begingroup$
            Ah, sniped! Well done!
            $endgroup$
            – Matt
            yesterday










          • $begingroup$
            Seconds away from beating you!
            $endgroup$
            – Greg
            yesterday










          • $begingroup$
            Well done!! Got me too!
            $endgroup$
            – El-Guest
            yesterday











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          1 Answer
          1






          active

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          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          12












          $begingroup$

          I think the correct password is




          0179




          Reasoning




          Combining the second and third clues tells us that '5' is not in the combination, otherwise it would be in the correct position in the second combination. Therefore, 0, 1, and 9 are all in the correct position in the last combination. The first clue tells us that the third digit is not 8. Using the second clue again, the only remaining option is 7.







          share|improve this answer









          $endgroup$













          • $begingroup$
            Ah, sniped! Well done!
            $endgroup$
            – Matt
            yesterday










          • $begingroup$
            Seconds away from beating you!
            $endgroup$
            – Greg
            yesterday










          • $begingroup$
            Well done!! Got me too!
            $endgroup$
            – El-Guest
            yesterday
















          12












          $begingroup$

          I think the correct password is




          0179




          Reasoning




          Combining the second and third clues tells us that '5' is not in the combination, otherwise it would be in the correct position in the second combination. Therefore, 0, 1, and 9 are all in the correct position in the last combination. The first clue tells us that the third digit is not 8. Using the second clue again, the only remaining option is 7.







          share|improve this answer









          $endgroup$













          • $begingroup$
            Ah, sniped! Well done!
            $endgroup$
            – Matt
            yesterday










          • $begingroup$
            Seconds away from beating you!
            $endgroup$
            – Greg
            yesterday










          • $begingroup$
            Well done!! Got me too!
            $endgroup$
            – El-Guest
            yesterday














          12












          12








          12





          $begingroup$

          I think the correct password is




          0179




          Reasoning




          Combining the second and third clues tells us that '5' is not in the combination, otherwise it would be in the correct position in the second combination. Therefore, 0, 1, and 9 are all in the correct position in the last combination. The first clue tells us that the third digit is not 8. Using the second clue again, the only remaining option is 7.







          share|improve this answer









          $endgroup$



          I think the correct password is




          0179




          Reasoning




          Combining the second and third clues tells us that '5' is not in the combination, otherwise it would be in the correct position in the second combination. Therefore, 0, 1, and 9 are all in the correct position in the last combination. The first clue tells us that the third digit is not 8. Using the second clue again, the only remaining option is 7.








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered yesterday









          hexominohexomino

          43.3k3129207




          43.3k3129207












          • $begingroup$
            Ah, sniped! Well done!
            $endgroup$
            – Matt
            yesterday










          • $begingroup$
            Seconds away from beating you!
            $endgroup$
            – Greg
            yesterday










          • $begingroup$
            Well done!! Got me too!
            $endgroup$
            – El-Guest
            yesterday


















          • $begingroup$
            Ah, sniped! Well done!
            $endgroup$
            – Matt
            yesterday










          • $begingroup$
            Seconds away from beating you!
            $endgroup$
            – Greg
            yesterday










          • $begingroup$
            Well done!! Got me too!
            $endgroup$
            – El-Guest
            yesterday
















          $begingroup$
          Ah, sniped! Well done!
          $endgroup$
          – Matt
          yesterday




          $begingroup$
          Ah, sniped! Well done!
          $endgroup$
          – Matt
          yesterday












          $begingroup$
          Seconds away from beating you!
          $endgroup$
          – Greg
          yesterday




          $begingroup$
          Seconds away from beating you!
          $endgroup$
          – Greg
          yesterday












          $begingroup$
          Well done!! Got me too!
          $endgroup$
          – El-Guest
          yesterday




          $begingroup$
          Well done!! Got me too!
          $endgroup$
          – El-Guest
          yesterday


















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