7.1 (part 1), due March 4

Tis a gift to be simple! I really enjoyed this section.  It was easy to understand and it was fairly straight forward.  The only question that crossed my mind as I read was "Does * always denote the composition of two functions or is that just one interpretation of that symbol?"  From the text it seemed to just be one interpretation of the symbol which then lead me to wonder what some other interpretations might be.  I was only a little confused about waht exactly a symmetric group was.  The definition was buried in the example and I wasn't sure what properties made the group symmetric.