Quiz 13

1. Consider a graph with $5$ points, where every point is connected by a line to every other point. (A graph like that is sometimes called a complete graph with 5 points, or $K_5$)
   1. How many lines are there within this graph?
   2. How many triangles (groups of 3 points, all of which are connected to each other? -- sometimes called $K_3$)
   3. How many "squares" (groups of 4 points, all of which are connected to each other -- sometimes called $K_4$)
2. Answer the same questions for a graph with $10$ points ($K_{10}$).