They are certainly different. 2 comb 3 0 1 0 2 1 2 2 perm 3 0 1 2 0 2 1 1 0 2
In general, for n of m permutations and n of m combinations, the permutations are going to be longer (length m instead of length n). But the number of distinct items will be the same. -- Raul On Tue, Jun 26, 2012 at 2:09 PM, Devon McCormick <devon...@gmail.com> wrote: > I thought that in the usual mathematical definition, combinations and > permutations differ: for permutations, order matters; for > combinations, it does not. Under this definition, the combinations of > 3 things is just " i. 3 " - assuming we don't allow replacement? If > we do allow replacement, the permutations of 3 things are given by " > {3$<i.3 " and the combinations by something like " ~./:~&.>,{3$<i.3 ". > > Does this seem right? > > On Tue, Jun 26, 2012 at 12:51 PM, Raul Miller <rauldmil...@gmail.com> wrote: >> Note that the number of combinations and the number of permutions are the >> same. >> >> And, perm is just: ! A.&i. ] >> >> It seems like there ought to be a way of putting the permutations in 1 >> to 1 correspondence with the combinations (to give us a concise >> expression for combinations). >> >> -- >> Raul >> >> On Tue, Jun 26, 2012 at 12:41 PM, ed bierly <ebie...@gmail.com> wrote: >>> yes combinations not permutations >>> thought there might be a way that didn't loop >>> thank you for the references >>> >>> On Tue, Jun 26, 2012 at 12:30 PM, R.E. Boss <r.e.b...@planet.nl> wrote: >>> >>>> 4 comb 10 >>>> >>>> >>>> R.E. Boss >>>> >>>> >>>> > -----Oorspronkelijk bericht----- >>>> > Van: programming-boun...@jsoftware.com [mailto: >>>> programming-boun...@jsoftware.com] Namens ed bierly >>>> > Verzonden: dinsdag 26 juni 2012 18:15 >>>> > Aan: programming@jsoftware.com >>>> > Onderwerp: [Jprogramming] permutation list >>>> > >>>> > what is the best way to get this list of 210 vectors? >>>> > >>>> > 4!10 >>>> > ---------------------------------------------------------------------- >>>> > For information about J forums see http://www.jsoftware.com/forums.htm >>>> >>>> ---------------------------------------------------------------------- >>>> For information about J forums see http://www.jsoftware.com/forums.htm >>>> >>> ---------------------------------------------------------------------- >>> For information about J forums see http://www.jsoftware.com/forums.htm >> ---------------------------------------------------------------------- >> For information about J forums see http://www.jsoftware.com/forums.htm > > > > -- > Devon McCormick, CFA > ^me^ at acm. > org is my > preferred e-mail > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm