Self Check Answers

1. 

2. Using the list 10, 9, 7, 7, 5, 4, we get the result in the accompanying figure.

   

3. Fifteen bins are required, as shown in the accompanying diagram. A solution with fewer bins is not possible.

   

4. The chromatic number for this graph is 3, as indicated by the coloring. There are other ways to color this graph with only three colors.