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Permutations with and without repetitions |
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Moved permutations on top since they are considered more "basic". Changed the formulae n! to the more specific n!/(n-r)! and some smaller text rewrites. I'm a little slow (in my brain) using the "Show preview" button so excuse my many smaller edits... [[User:Thechamelon|Thechamelon]] 20:04, 27 Apr 2005 (UTC)
== Permutations with and without repetitions ==
The terms "permutations with repetion" and "permutations without repetition" seem inappropriate because a permutation by definition is a one-to-one and onto function <math>f: S \to S</math>.
So a permutation with repetition is a contradiction and a permutation without repetition is a tautology. I don't know what the proper terms should be. I'll leave the changes for someone who actually knows what to do. The problem was noticed in a discussion in alt.algebra.help; here's the relevant [http://groups.google.com/group/alt.algebra.help/browse_frm/thread/5fd17f55e3e4b6a1/2b086b2a1c353b8c?tvc=1&hl=en#2b086b2a1c353b8c thread].
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