7.9, due on 4/1

1.  I did not follow the proof of Corollary 7.47 very well.

2.  I really liked the new k-cycle notation because I hated writing out the long things every time in Sn.  The concept of disjoint was very straightforward.  This stuff seems to getting closer to graph theory/network stuff.  Or I'm just barely beginning to see the connection.