Combining list in a Cartesian product format with addition operation?












1












$begingroup$


I have two list to begin with.



list1 = {1, 2, 3};

list2 = {10, 20, 30, 40};


I want to obtain the following output (order unimportant):



{11, 12, 13, 21, 22, 23, 31, 32, 33, 41, 42, 43}


I can obtain it via "Table, For, Do" etc. command but I am looking for a concise code to achieve such an output?






list-manipulation







share|improve this question











$endgroup$

















    1












    $begingroup$


    I have two list to begin with.



    list1 = {1, 2, 3};
    
list2 = {10, 20, 30, 40};


    I want to obtain the following output (order unimportant):



    {11, 12, 13, 21, 22, 23, 31, 32, 33, 41, 42, 43}


    I can obtain it via "Table, For, Do" etc. command but I am looking for a concise code to achieve such an output?






    list-manipulation







    share|improve this question











    $endgroup$















      1












      1








      1





      $begingroup$


      I have two list to begin with.



      list1 = {1, 2, 3};
      
list2 = {10, 20, 30, 40};


      I want to obtain the following output (order unimportant):



      {11, 12, 13, 21, 22, 23, 31, 32, 33, 41, 42, 43}


      I can obtain it via "Table, For, Do" etc. command but I am looking for a concise code to achieve such an output?






      list-manipulation







      share|improve this question











      $endgroup$




      I have two list to begin with.



      list1 = {1, 2, 3};
      
list2 = {10, 20, 30, 40};


      I want to obtain the following output (order unimportant):



      {11, 12, 13, 21, 22, 23, 31, 32, 33, 41, 42, 43}


      I can obtain it via "Table, For, Do" etc. command but I am looking for a concise code to achieve such an output?






      list-manipulation




      list-manipulation






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 1 hour ago







      Mark Robinson

















      asked 1 hour ago









      Mark RobinsonMark Robinson

      1316




      1316






















          2 Answers
          2






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          2












          $begingroup$

          Outer[Plus, list2, list1] // Flatten


          enter image description here






          share|improve this answer









          $endgroup$





















            1












            $begingroup$

            list1+#&/@list2//Flatten
            

            
(*{11,12,13,21,22,23,31,32,33,41,42,43}*)





            share|improve this answer









            $endgroup$














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              2 Answers
              2






              active

              oldest

              votes








              2 Answers
              2






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes









              2












              $begingroup$

              Outer[Plus, list2, list1] // Flatten


              enter image description here






              share|improve this answer









              $endgroup$


















                2












                $begingroup$

                Outer[Plus, list2, list1] // Flatten


                enter image description here






                share|improve this answer









                $endgroup$
















                  2












                  2








                  2





                  $begingroup$

                  Outer[Plus, list2, list1] // Flatten


                  enter image description here






                  share|improve this answer









                  $endgroup$



                  Outer[Plus, list2, list1] // Flatten


                  enter image description here







                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered 1 hour ago









                  NasserNasser

                  58.9k490206




                  58.9k490206























                      1












                      $begingroup$

                      list1+#&/@list2//Flatten
                      

                      
(*{11,12,13,21,22,23,31,32,33,41,42,43}*)





                      share|improve this answer









                      $endgroup$


















                        1












                        $begingroup$

                        list1+#&/@list2//Flatten
                        

                        
(*{11,12,13,21,22,23,31,32,33,41,42,43}*)





                        share|improve this answer









                        $endgroup$
















                          1












                          1








                          1





                          $begingroup$

                          list1+#&/@list2//Flatten
                          

                          
(*{11,12,13,21,22,23,31,32,33,41,42,43}*)





                          share|improve this answer









                          $endgroup$



                          list1+#&/@list2//Flatten
                          

                          
(*{11,12,13,21,22,23,31,32,33,41,42,43}*)






                          share|improve this answer












                          share|improve this answer



                          share|improve this answer










                          answered 59 mins ago









                          BillBill

                          6,05069




                          6,05069






























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