Question

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

Answer 1

Have you studied the ! yet?

Answer 2

no

Answer 3

It is called a factorial, and that is the easiest way to solve this question. Are you sure you haven't?

Answer 4

i dont think i have

Answer 5

Okay well, all a factorial means is if you have 3!=3*2*1=6 or 5!=5*4*3*2*1=120

Answer 6

Thus that means there are 4!+7!+2!+3!= 24+5040+2+6=5072 choices for your home.
Does this help or just confuse you?

Answer 7

confuses me lol

Answer 8

Haha. Okay. Well you have 4 different floor plans, which means you have 4 different choice to choose from. So you could essentially build 4 different homes.
And there are 7 exterior colors, which agains means you have 7 different choices to choose from.
But when you are building your home. You could arrange these in many different orders to where you would have different homes, i.e. you could have floor plan 1 with color 1, or floorplan 1 with color 2, or, floorplan 1 with color 3, and so on .
So that is where the factorial comes into play. 4!+7! gets you all the possible house ideas.

Does that help anymore?

Answer 9

well my answer choices are
A. 34
B. 96
C. 64
D. 56

Answer 10

so idk how to solve to get one of those

Answer 11

Okay. Well all it is wanting you do to is multiply them together.
Thus for one home you could have 4*7*2=56 ways
and the other way is 4*7*3=84

Sorry for the whole misunderstanding and confusion! haha

Answer 12

see thats what i was having trouble with now i understand thank you

Answer 13

I'm so sorry about that!!

Answer 14

its ok :)