Question

Stanwood Builders has a development of new homes. There are 7 different floor plans, 5 exterior colors, and an option of either a one-car garage or a two-car garage. How many choices are there for one home?

Answer 1

When 1 car garage then there are 35 choices

When 2 car garage there are 70 choices

Explanation:

Given:

There 7 different floors ,5 exterior colors and option of 1 or 2 car garage.

To Find:

How many choices are there for one home.

Solution:

Now for one home there 4 different option in terms of

Floors

Exterior colors

1 car garage.

2 car garage .

When 1 car garage, then choice will be multiple of each term

as =7*5*1

=35 Different choices with 1 car garage.

When 2 car garage then choices are

=7*5*2

=70 Different choices

i.e This is way to arrangement of options for home . permutation Concept.