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AXIOM 2: NUMERACY

permutations and combinations

 

 

9th march 2010

                                                    love / life                               quantum / inanimacy

                                                                                          1 x 1                                          1 + 1

                                                       and                                            and

                                                                   1                                                      1 -

 

 

october 2009

permutations                                                                           combinations

there are two permutations of 1 and 2                                           there is one combination of 1 and 2

                               1/2 and 2/1                                                                                   1/2

                                 1 x 2 = 2                                                                            1 + 1 = 2 - 1 = 1

             there are six permutations of 1, 2 and 3                                         there are three combinations of 1, 2, and 3

          1/2/3, 1/3/2, 2/1/3, 2/3/1, 3/1/2 and 3/2/1                                                        1/2, 1/3 and 2/3

                             1 x 2 x 3 = 6                                                                          1 + 2 + 3 = 6 - 3 = 3

      there are twenty four permutations of 1, 2, 3 and 4                                  there are six combinations of 1, 2, 3, and 4

      1/2/3/4, 1/2/4/3, 1/3/2/4, 1/3/4/2, 1/4/3/2, 1/4/2/1,                                         1/2, 1/3, 1/4, 2/3, 2/4, and 3/4

      2/1/3/4, 2/1/4/3, 2/3/1/4, 2/3/4/1, 2/4/1/2, 2/4/1/3,                                             1 + 2 + 3 + 4 = 10 - 4 = 6

      3/1/2/4, 3/1/4/2, 3/2/1/4, 3/2/4/2, 3/4/1/2, 3/4/2/1,                              there are ten combinations of 1, 2, 3, 4, and 5

    4/1/2/3, 4/1/3/2, 4/2/1/3, 4/2/3/1, 4/3/1/2 and 4/3/2/1                           1/2, 1/3, 1/4, 1/5, 2/3, 2/4, 2/5, 3/4, 3/5, and 4/5

                             1 x 2 x 3 x 4 = 24                                                                  1 + 2 + 3 + 4 + 5 = 15 - 5 = 10

                        it and we go on and on                                                                    it and we go on and on

 

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