Answer:
We conclude that Seth can make the model of the house on 9 different ways.
Step-by-step explanation:
We know that Seth uses 17 linking cubes to make a model house. The model house is in the shape of a rectangle and is one cube high.
We calculate how many different ways could Seth make the model of the house:
[tex]C_8^9=\frac{9!}{8!(9-1)!}=9[/tex]
We conclude that Seth can make the model of the house on 9 different ways.