Page 11 - taller matematicas_Neat
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K =2
                           K =2, K =3                                                                                                                   1
                             1
                                       2
                                                                                                                                                  !     7! 7∗6∗5∗4∗3∗2!
                                          !         7!                                                                             (    !)   =       = =
                   (    !    !)   =   1!  2!    = 2! 3!                                                                                          1!     2!              2!


                                                                                                                                     =7*6*5*4*3 =2.520
            7∗6∗5∗4∗3!
         =                     =7*6*5*2 =420
                  2 3!






                                                                                                                                             K =2, K =4
                                                                                                                                                          2
                                                                                                                                               1
                                                                                                                                             K =4, K =2
                                                                                                                                                          4
                                                                                                                                               3
                          K =3, K =5
                            1
                                      2
                                                                                                                                   (    !    !    !    !)    =            !
                                           !        8!                                                                                                           1!  2!  3!  4!
                    (    !    !)   =   1!  2!    = 3!5!


                                                                                                                            =     12!      =  12∗11∗10∗9∗8∗7∗6∗5∗4!

                      7∗6∗5!                                                                                                  2!4!4!2!                      12 4 4!
                   =             =7*3 =21
                        2 5!                                                                                               =11*10*9*2*7*6*5 =415.800
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