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Single Colour Mastermind Problem


A first choice dieBulls without cows: how many steps are needed to solve this?Guess my numberNon-unique Minesweeper Solution?Strategy for solving 0hh1 and Unruly?Chess, for short peopleMastermind with an errorLots of ships in the arbitrarily large battleshipBlind Person Ball GameHat Puzzle with 5 different colours and 3 people













2












$begingroup$


Imagine we're playing a game of mastermind with the usual eight colours, only this version has six holes across in which to place colours. And to make it easier for you I tell you that I have filled all six with the same colour.



What is the maximum number of turns you require to get the correct answer? How do you do it?










share|improve this question









$endgroup$
















    2












    $begingroup$


    Imagine we're playing a game of mastermind with the usual eight colours, only this version has six holes across in which to place colours. And to make it easier for you I tell you that I have filled all six with the same colour.



    What is the maximum number of turns you require to get the correct answer? How do you do it?










    share|improve this question









    $endgroup$














      2












      2








      2





      $begingroup$


      Imagine we're playing a game of mastermind with the usual eight colours, only this version has six holes across in which to place colours. And to make it easier for you I tell you that I have filled all six with the same colour.



      What is the maximum number of turns you require to get the correct answer? How do you do it?










      share|improve this question









      $endgroup$




      Imagine we're playing a game of mastermind with the usual eight colours, only this version has six holes across in which to place colours. And to make it easier for you I tell you that I have filled all six with the same colour.



      What is the maximum number of turns you require to get the correct answer? How do you do it?







      logical-deduction mastermind






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 1 hour ago









      Reggie PinkhamReggie Pinkham

      1112




      1112




















          2 Answers
          2






          active

          oldest

          votes


















          3












          $begingroup$


          Two. Use 1 peg colour 1, 1 pegs colour 2 and 2 pegs colour 3 and 4 for the first guess. If nothing is recorded, you get left with 4 colours, otherwise you are home and dry. With 4 colours, use 1 peg 1, 2 pegs 2, 3 peg 3. The number of records gives the answer (or none for colour 4).







          share|improve this answer











          $endgroup$












          • $begingroup$
            But there are 8 colors!
            $endgroup$
            – Florian F
            1 hour ago










          • $begingroup$
            @FlorianF; fixed.
            $endgroup$
            – JonMark Perry
            1 hour ago


















          2












          $begingroup$


          Two guesses are enough to find the color, a third guess to give the correct code.


          Name the colors with letter A to H.

          Guess 1: AABCDE.

          - If you get 2 matches, the color is A.

          - If you get 1 match, it is B, C, D or E. Guess 2: CDDEEE. The color is B, C, D or E for respectively 0, 1, 2 or 3 matches.

          - If you get 0 match, it is F, G or H. Guess 2: FGGHHH. The color is F, G or H for resp. 0, 1 or 2 matches.

          If it is required to complete the game, enter the color everywhere as guess 3.


          It is easy to see that with 2 guesses you can find the correct color among even 9.







          share|improve this answer











          $endgroup$













            Your Answer








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            2 Answers
            2






            active

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            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            3












            $begingroup$


            Two. Use 1 peg colour 1, 1 pegs colour 2 and 2 pegs colour 3 and 4 for the first guess. If nothing is recorded, you get left with 4 colours, otherwise you are home and dry. With 4 colours, use 1 peg 1, 2 pegs 2, 3 peg 3. The number of records gives the answer (or none for colour 4).







            share|improve this answer











            $endgroup$












            • $begingroup$
              But there are 8 colors!
              $endgroup$
              – Florian F
              1 hour ago










            • $begingroup$
              @FlorianF; fixed.
              $endgroup$
              – JonMark Perry
              1 hour ago















            3












            $begingroup$


            Two. Use 1 peg colour 1, 1 pegs colour 2 and 2 pegs colour 3 and 4 for the first guess. If nothing is recorded, you get left with 4 colours, otherwise you are home and dry. With 4 colours, use 1 peg 1, 2 pegs 2, 3 peg 3. The number of records gives the answer (or none for colour 4).







            share|improve this answer











            $endgroup$












            • $begingroup$
              But there are 8 colors!
              $endgroup$
              – Florian F
              1 hour ago










            • $begingroup$
              @FlorianF; fixed.
              $endgroup$
              – JonMark Perry
              1 hour ago













            3












            3








            3





            $begingroup$


            Two. Use 1 peg colour 1, 1 pegs colour 2 and 2 pegs colour 3 and 4 for the first guess. If nothing is recorded, you get left with 4 colours, otherwise you are home and dry. With 4 colours, use 1 peg 1, 2 pegs 2, 3 peg 3. The number of records gives the answer (or none for colour 4).







            share|improve this answer











            $endgroup$




            Two. Use 1 peg colour 1, 1 pegs colour 2 and 2 pegs colour 3 and 4 for the first guess. If nothing is recorded, you get left with 4 colours, otherwise you are home and dry. With 4 colours, use 1 peg 1, 2 pegs 2, 3 peg 3. The number of records gives the answer (or none for colour 4).








            share|improve this answer














            share|improve this answer



            share|improve this answer








            edited 1 hour ago

























            answered 1 hour ago









            JonMark PerryJonMark Perry

            21k64199




            21k64199











            • $begingroup$
              But there are 8 colors!
              $endgroup$
              – Florian F
              1 hour ago










            • $begingroup$
              @FlorianF; fixed.
              $endgroup$
              – JonMark Perry
              1 hour ago
















            • $begingroup$
              But there are 8 colors!
              $endgroup$
              – Florian F
              1 hour ago










            • $begingroup$
              @FlorianF; fixed.
              $endgroup$
              – JonMark Perry
              1 hour ago















            $begingroup$
            But there are 8 colors!
            $endgroup$
            – Florian F
            1 hour ago




            $begingroup$
            But there are 8 colors!
            $endgroup$
            – Florian F
            1 hour ago












            $begingroup$
            @FlorianF; fixed.
            $endgroup$
            – JonMark Perry
            1 hour ago




            $begingroup$
            @FlorianF; fixed.
            $endgroup$
            – JonMark Perry
            1 hour ago











            2












            $begingroup$


            Two guesses are enough to find the color, a third guess to give the correct code.


            Name the colors with letter A to H.

            Guess 1: AABCDE.

            - If you get 2 matches, the color is A.

            - If you get 1 match, it is B, C, D or E. Guess 2: CDDEEE. The color is B, C, D or E for respectively 0, 1, 2 or 3 matches.

            - If you get 0 match, it is F, G or H. Guess 2: FGGHHH. The color is F, G or H for resp. 0, 1 or 2 matches.

            If it is required to complete the game, enter the color everywhere as guess 3.


            It is easy to see that with 2 guesses you can find the correct color among even 9.







            share|improve this answer











            $endgroup$

















              2












              $begingroup$


              Two guesses are enough to find the color, a third guess to give the correct code.


              Name the colors with letter A to H.

              Guess 1: AABCDE.

              - If you get 2 matches, the color is A.

              - If you get 1 match, it is B, C, D or E. Guess 2: CDDEEE. The color is B, C, D or E for respectively 0, 1, 2 or 3 matches.

              - If you get 0 match, it is F, G or H. Guess 2: FGGHHH. The color is F, G or H for resp. 0, 1 or 2 matches.

              If it is required to complete the game, enter the color everywhere as guess 3.


              It is easy to see that with 2 guesses you can find the correct color among even 9.







              share|improve this answer











              $endgroup$















                2












                2








                2





                $begingroup$


                Two guesses are enough to find the color, a third guess to give the correct code.


                Name the colors with letter A to H.

                Guess 1: AABCDE.

                - If you get 2 matches, the color is A.

                - If you get 1 match, it is B, C, D or E. Guess 2: CDDEEE. The color is B, C, D or E for respectively 0, 1, 2 or 3 matches.

                - If you get 0 match, it is F, G or H. Guess 2: FGGHHH. The color is F, G or H for resp. 0, 1 or 2 matches.

                If it is required to complete the game, enter the color everywhere as guess 3.


                It is easy to see that with 2 guesses you can find the correct color among even 9.







                share|improve this answer











                $endgroup$




                Two guesses are enough to find the color, a third guess to give the correct code.


                Name the colors with letter A to H.

                Guess 1: AABCDE.

                - If you get 2 matches, the color is A.

                - If you get 1 match, it is B, C, D or E. Guess 2: CDDEEE. The color is B, C, D or E for respectively 0, 1, 2 or 3 matches.

                - If you get 0 match, it is F, G or H. Guess 2: FGGHHH. The color is F, G or H for resp. 0, 1 or 2 matches.

                If it is required to complete the game, enter the color everywhere as guess 3.


                It is easy to see that with 2 guesses you can find the correct color among even 9.








                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited 52 mins ago

























                answered 59 mins ago









                Florian FFlorian F

                9,26612260




                9,26612260



























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