Let [tex]I_1, I_2, I_3[/tex] to be interior plans and [tex]E_1, E_2, E_3, E_4, E_5[/tex] to be interior plans.
For each interior plan a develepor has 5 choices of exterior plan that is together 15 possibilities.
(see the attached file for possibility tree)
Answer: 15 different houses.