Question

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. How many different ways could Seth make the model of the house? A: 7 B: 10 C: 1 D:9 PLEASE HELPPPPP

Answer 1

We conclude that Seth can make the model of the house on 9 different ways.

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:

`C_8^9=(9!)/(8!(9-1)!)=9`

We conclude that Seth can make the model of the house on 9 different ways.