Ms. Wong is redecorating her office. She has a choice of 7 colors of paint, 4 kinds of curtains, 3 colors of carpet, and 2 styles of furniture. How many different ways are there to redecorate if she chooses two different colors of paint, one kind of curtain, one color of carpet, and one style of furniture?

A. 168 ways

B. 1,008 ways

C. 1,176 ways

D. 23 ways

Question

Ms. Wong is redecorating her office. She has a choice of 7 colors of paint, 4 kinds of curtains, 3 colors of carpet, and 2 styles of furniture. How many different ways are there to redecorate if she chooses two different colors of paint, one kind of curtain, one color of carpet, and one style of furniture?

A. 168 ways	

B. 1,008 ways	

C. 1,176 ways	

D. 23 ways

anonymous · Answer

is anyone gonna help me?

highlyeducated87 · Answer

A.168

anonymous · Answer

i know but on another question some kid said it was wrong

phi · Answer

I would use (7 choose 2) times   (4 choose 1)  etc

anonymous · Answer

Its 168

anonymous · Answer

phi-?

highlyeducated87 · Answer

No You have to multiply each number and that will give you 168

anonymous · Answer

i know lol ill try

phi · Answer

They are not explicit when they say choose 2 colors out of 7.  If the colors are used for walls and ceiling, for example,  then order matters.  In that case, we would get
7*6  different pairs of colors
multiply by the choices for the other items.

anonymous · Answer

so what would i have to times with

highlyeducated87 · Answer

Never mind it's 1008

phi · Answer

think about it.  after you have picked the colors you can
 4 kinds of curtains
so for every color scheme you could have 4 different curtains.   4 times each color scheme...

phi · Answer

and then for every color scheme with a curtain you can pick  3 colors of carpet,
so 3 times  for the carpets.