A contractor builds homes of 12 different models and presently has 5 lots to build on. in how many different ways can he arrange homes on these lots? assume 5 different models will be built.

The number of different ways in which it can be built in the mentioned lots, using only five models as a reference is: 120.

What are Factorial Numbers?

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:

5! = 5 * 4 * 3 * 2 * 1

5! = 120

Taking into account the calculation made, houses on the five lots can be arranged in 120 different ways.

numberof different ways in which it can be built in the mentioned lots, using onlyfive modelsas a reference is:.120## What are

Factorial Numbers?Factorial numbersare the products of allnatural numbersbefore a particular number, it is usually represented with anexclamation markat the end of the number (!) and they are usually used to represent the possiblecombinationsof a certain number ofelements.five models, this can be represented by5!to identify the number of possiblecombinationsthat can be made with these five models, which are calculated as follows:5! = 5 * 4 * 3 * 2 * 15! = 120calculationmade, houses on the five lots can be arranged indifferent ways.120Mathematics, you can visit the following link: https://brainly.com/question/17312578