Pattern recognition using a, b, c, d, and e












7












$begingroup$


I need to find the solution of this pattern:




{a,b,c}, {c,d,e}, ?, ?, ?, {b,c,e}, {a,c,d}, {b,c,d}, {a,c,e}, ?




The solution should be something like this:




{a,b,c}, {c,d,e} {x,x,x} {x,x,x} {x,x,x},{b,c,e},{a,c,d}, {b,c,d}, {a,c,e}, {x,x,x}




where instead of the x you should replace letters.



Source: http://zagaza.ru/za548.htm










share|improve this question











$endgroup$

















    7












    $begingroup$


    I need to find the solution of this pattern:




    {a,b,c}, {c,d,e}, ?, ?, ?, {b,c,e}, {a,c,d}, {b,c,d}, {a,c,e}, ?




    The solution should be something like this:




    {a,b,c}, {c,d,e} {x,x,x} {x,x,x} {x,x,x},{b,c,e},{a,c,d}, {b,c,d}, {a,c,e}, {x,x,x}




    where instead of the x you should replace letters.



    Source: http://zagaza.ru/za548.htm










    share|improve this question











    $endgroup$















      7












      7








      7





      $begingroup$


      I need to find the solution of this pattern:




      {a,b,c}, {c,d,e}, ?, ?, ?, {b,c,e}, {a,c,d}, {b,c,d}, {a,c,e}, ?




      The solution should be something like this:




      {a,b,c}, {c,d,e} {x,x,x} {x,x,x} {x,x,x},{b,c,e},{a,c,d}, {b,c,d}, {a,c,e}, {x,x,x}




      where instead of the x you should replace letters.



      Source: http://zagaza.ru/za548.htm










      share|improve this question











      $endgroup$




      I need to find the solution of this pattern:




      {a,b,c}, {c,d,e}, ?, ?, ?, {b,c,e}, {a,c,d}, {b,c,d}, {a,c,e}, ?




      The solution should be something like this:




      {a,b,c}, {c,d,e} {x,x,x} {x,x,x} {x,x,x},{b,c,e},{a,c,d}, {b,c,d}, {a,c,e}, {x,x,x}




      where instead of the x you should replace letters.



      Source: http://zagaza.ru/za548.htm







      logical-deduction pattern combinatorics






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited Jan 7 at 1:42









      Peter Mortensen

      1253




      1253










      asked Jan 6 at 16:19









      alnesialnesi

      778




      778






















          1 Answer
          1






          active

          oldest

          votes


















          9












          $begingroup$

          How about:




          {a,b,c}, {c,d,e}, {a,b,d}, {b,d,e}, {a,b,e}, {b,c,e}, {a,c,d}, {b,c,d}, {a,c,e}, {a,d,e}.




          Because:




          We know there are $binom53=10$ variants, and there are $10$ slots, so a one-to-one correspondence seems likely.


          The lexical order is {a,b,c}, {a,b,d}, {a,b,e}, {a,c,d}, {a,c,e}, {a,d,e}, {b,c,d}, {b,c,e}, {b,d,e}, {c,d,e}.


          Alternate indices cover 1,2,3,4,5 and 10,9,8,7,6, i.e. 1,10,2,9,3,8,4,7,5,6.







          share|improve this answer









          $endgroup$













          • $begingroup$
            This is logical. I was going for Permutations instead.
            $endgroup$
            – ABcDexter
            Jan 6 at 18:34










          • $begingroup$
            thanks for answering,could you please explain me how you understood the order of those variants,i mean inside the x.x.x at the beginning there could even be C as first letter,please explain that to an heretical guy xD
            $endgroup$
            – alnesi
            Jan 6 at 18:55










          • $begingroup$
            do u have any other contact,like discord,steam even a twitter account that you use to communicate thanks in advace
            $endgroup$
            – alnesi
            Jan 6 at 19:28










          • $begingroup$
            @alnesi I think the explanation is already very good and clear. maybe you don't see how the lexical order is determined? Just take three letters, and order them as if they were words: "abc", "abd",... Once that is established, the index alternation should pretty easy.
            $endgroup$
            – Silly Freak
            Jan 6 at 19:31












          • $begingroup$
            oh thank you,i just wanted to know that :D .Really thank you
            $endgroup$
            – alnesi
            Jan 6 at 19:38













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          1 Answer
          1






          active

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          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          9












          $begingroup$

          How about:




          {a,b,c}, {c,d,e}, {a,b,d}, {b,d,e}, {a,b,e}, {b,c,e}, {a,c,d}, {b,c,d}, {a,c,e}, {a,d,e}.




          Because:




          We know there are $binom53=10$ variants, and there are $10$ slots, so a one-to-one correspondence seems likely.


          The lexical order is {a,b,c}, {a,b,d}, {a,b,e}, {a,c,d}, {a,c,e}, {a,d,e}, {b,c,d}, {b,c,e}, {b,d,e}, {c,d,e}.


          Alternate indices cover 1,2,3,4,5 and 10,9,8,7,6, i.e. 1,10,2,9,3,8,4,7,5,6.







          share|improve this answer









          $endgroup$













          • $begingroup$
            This is logical. I was going for Permutations instead.
            $endgroup$
            – ABcDexter
            Jan 6 at 18:34










          • $begingroup$
            thanks for answering,could you please explain me how you understood the order of those variants,i mean inside the x.x.x at the beginning there could even be C as first letter,please explain that to an heretical guy xD
            $endgroup$
            – alnesi
            Jan 6 at 18:55










          • $begingroup$
            do u have any other contact,like discord,steam even a twitter account that you use to communicate thanks in advace
            $endgroup$
            – alnesi
            Jan 6 at 19:28










          • $begingroup$
            @alnesi I think the explanation is already very good and clear. maybe you don't see how the lexical order is determined? Just take three letters, and order them as if they were words: "abc", "abd",... Once that is established, the index alternation should pretty easy.
            $endgroup$
            – Silly Freak
            Jan 6 at 19:31












          • $begingroup$
            oh thank you,i just wanted to know that :D .Really thank you
            $endgroup$
            – alnesi
            Jan 6 at 19:38


















          9












          $begingroup$

          How about:




          {a,b,c}, {c,d,e}, {a,b,d}, {b,d,e}, {a,b,e}, {b,c,e}, {a,c,d}, {b,c,d}, {a,c,e}, {a,d,e}.




          Because:




          We know there are $binom53=10$ variants, and there are $10$ slots, so a one-to-one correspondence seems likely.


          The lexical order is {a,b,c}, {a,b,d}, {a,b,e}, {a,c,d}, {a,c,e}, {a,d,e}, {b,c,d}, {b,c,e}, {b,d,e}, {c,d,e}.


          Alternate indices cover 1,2,3,4,5 and 10,9,8,7,6, i.e. 1,10,2,9,3,8,4,7,5,6.







          share|improve this answer









          $endgroup$













          • $begingroup$
            This is logical. I was going for Permutations instead.
            $endgroup$
            – ABcDexter
            Jan 6 at 18:34










          • $begingroup$
            thanks for answering,could you please explain me how you understood the order of those variants,i mean inside the x.x.x at the beginning there could even be C as first letter,please explain that to an heretical guy xD
            $endgroup$
            – alnesi
            Jan 6 at 18:55










          • $begingroup$
            do u have any other contact,like discord,steam even a twitter account that you use to communicate thanks in advace
            $endgroup$
            – alnesi
            Jan 6 at 19:28










          • $begingroup$
            @alnesi I think the explanation is already very good and clear. maybe you don't see how the lexical order is determined? Just take three letters, and order them as if they were words: "abc", "abd",... Once that is established, the index alternation should pretty easy.
            $endgroup$
            – Silly Freak
            Jan 6 at 19:31












          • $begingroup$
            oh thank you,i just wanted to know that :D .Really thank you
            $endgroup$
            – alnesi
            Jan 6 at 19:38
















          9












          9








          9





          $begingroup$

          How about:




          {a,b,c}, {c,d,e}, {a,b,d}, {b,d,e}, {a,b,e}, {b,c,e}, {a,c,d}, {b,c,d}, {a,c,e}, {a,d,e}.




          Because:




          We know there are $binom53=10$ variants, and there are $10$ slots, so a one-to-one correspondence seems likely.


          The lexical order is {a,b,c}, {a,b,d}, {a,b,e}, {a,c,d}, {a,c,e}, {a,d,e}, {b,c,d}, {b,c,e}, {b,d,e}, {c,d,e}.


          Alternate indices cover 1,2,3,4,5 and 10,9,8,7,6, i.e. 1,10,2,9,3,8,4,7,5,6.







          share|improve this answer









          $endgroup$



          How about:




          {a,b,c}, {c,d,e}, {a,b,d}, {b,d,e}, {a,b,e}, {b,c,e}, {a,c,d}, {b,c,d}, {a,c,e}, {a,d,e}.




          Because:




          We know there are $binom53=10$ variants, and there are $10$ slots, so a one-to-one correspondence seems likely.


          The lexical order is {a,b,c}, {a,b,d}, {a,b,e}, {a,c,d}, {a,c,e}, {a,d,e}, {b,c,d}, {b,c,e}, {b,d,e}, {c,d,e}.


          Alternate indices cover 1,2,3,4,5 and 10,9,8,7,6, i.e. 1,10,2,9,3,8,4,7,5,6.








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered Jan 6 at 18:33









          JonMark PerryJonMark Perry

          18k63786




          18k63786












          • $begingroup$
            This is logical. I was going for Permutations instead.
            $endgroup$
            – ABcDexter
            Jan 6 at 18:34










          • $begingroup$
            thanks for answering,could you please explain me how you understood the order of those variants,i mean inside the x.x.x at the beginning there could even be C as first letter,please explain that to an heretical guy xD
            $endgroup$
            – alnesi
            Jan 6 at 18:55










          • $begingroup$
            do u have any other contact,like discord,steam even a twitter account that you use to communicate thanks in advace
            $endgroup$
            – alnesi
            Jan 6 at 19:28










          • $begingroup$
            @alnesi I think the explanation is already very good and clear. maybe you don't see how the lexical order is determined? Just take three letters, and order them as if they were words: "abc", "abd",... Once that is established, the index alternation should pretty easy.
            $endgroup$
            – Silly Freak
            Jan 6 at 19:31












          • $begingroup$
            oh thank you,i just wanted to know that :D .Really thank you
            $endgroup$
            – alnesi
            Jan 6 at 19:38




















          • $begingroup$
            This is logical. I was going for Permutations instead.
            $endgroup$
            – ABcDexter
            Jan 6 at 18:34










          • $begingroup$
            thanks for answering,could you please explain me how you understood the order of those variants,i mean inside the x.x.x at the beginning there could even be C as first letter,please explain that to an heretical guy xD
            $endgroup$
            – alnesi
            Jan 6 at 18:55










          • $begingroup$
            do u have any other contact,like discord,steam even a twitter account that you use to communicate thanks in advace
            $endgroup$
            – alnesi
            Jan 6 at 19:28










          • $begingroup$
            @alnesi I think the explanation is already very good and clear. maybe you don't see how the lexical order is determined? Just take three letters, and order them as if they were words: "abc", "abd",... Once that is established, the index alternation should pretty easy.
            $endgroup$
            – Silly Freak
            Jan 6 at 19:31












          • $begingroup$
            oh thank you,i just wanted to know that :D .Really thank you
            $endgroup$
            – alnesi
            Jan 6 at 19:38


















          $begingroup$
          This is logical. I was going for Permutations instead.
          $endgroup$
          – ABcDexter
          Jan 6 at 18:34




          $begingroup$
          This is logical. I was going for Permutations instead.
          $endgroup$
          – ABcDexter
          Jan 6 at 18:34












          $begingroup$
          thanks for answering,could you please explain me how you understood the order of those variants,i mean inside the x.x.x at the beginning there could even be C as first letter,please explain that to an heretical guy xD
          $endgroup$
          – alnesi
          Jan 6 at 18:55




          $begingroup$
          thanks for answering,could you please explain me how you understood the order of those variants,i mean inside the x.x.x at the beginning there could even be C as first letter,please explain that to an heretical guy xD
          $endgroup$
          – alnesi
          Jan 6 at 18:55












          $begingroup$
          do u have any other contact,like discord,steam even a twitter account that you use to communicate thanks in advace
          $endgroup$
          – alnesi
          Jan 6 at 19:28




          $begingroup$
          do u have any other contact,like discord,steam even a twitter account that you use to communicate thanks in advace
          $endgroup$
          – alnesi
          Jan 6 at 19:28












          $begingroup$
          @alnesi I think the explanation is already very good and clear. maybe you don't see how the lexical order is determined? Just take three letters, and order them as if they were words: "abc", "abd",... Once that is established, the index alternation should pretty easy.
          $endgroup$
          – Silly Freak
          Jan 6 at 19:31






          $begingroup$
          @alnesi I think the explanation is already very good and clear. maybe you don't see how the lexical order is determined? Just take three letters, and order them as if they were words: "abc", "abd",... Once that is established, the index alternation should pretty easy.
          $endgroup$
          – Silly Freak
          Jan 6 at 19:31














          $begingroup$
          oh thank you,i just wanted to know that :D .Really thank you
          $endgroup$
          – alnesi
          Jan 6 at 19:38






          $begingroup$
          oh thank you,i just wanted to know that :D .Really thank you
          $endgroup$
          – alnesi
          Jan 6 at 19:38




















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