Question

ms. wong is redecorationg her office. she has a choice of 7 colors of paint, 4 kind 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 furninture.

a. 168 ways
b. 1,008 ways
c. 1,176 ways
d. 23 ways

Answer 1

Since she picks two different colors: 7*6

and she picks one type of curtains, one carpet, and one furniture:

4*3*2, so the total number of combinations is:

7*6*4*3*2=1008 different combinations.