The number of different ways in which it can be built in the mentioned lots, using only five models as a reference is: 120.
Factorial numbers are the products of all natural numbers before a particular number, it is usually represented with an exclamation mark at the end of the number (!) and they are usually used to represent the possible combinations of a certain number of elements.
In the case of the five models, this can be represented by 5! to identify the number of possible combinations that can be made with these five models, which are calculated as follows:
Taking into account the calculation made, houses on the five lots can be arranged in 120 different ways.
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