guroten Messages 32 Reaction score 0 Thread starter Jun 8, 2009 #1 Given a countably infinite set, A, is the set of all permutations of A also countably infinite?
slider142 Messages 1,016 Reaction score 72 Jun 8, 2009 #2 Have you learned about Cantor's diagonal slash?
Dragonfall Messages 1,023 Reaction score 5 Jun 8, 2009 #3 No, there are [tex]{\aleph_0}^{\aleph_0}[/tex] permutations.