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?
Answers
Answer:
504
Step-by-step explanation:
Handling the paint colours first
The only slightly tricky bit is choosing two different colours of paint.
# ways of choosing two colours
= ( # ways of choosing first colour ) × ( # ways of choosing second colour ) / ( # ways of permuting 2 colours )
= 7 × 6 / 2 = 7 × 3 = 21
We needed to divide by 2 because otherwise we are counting "first colour red, second colour blue" and "first colour blue, second colour red" separately, which means that each choice of two colours gets counted twice.
The main part
Armed with that, we can now get our answer.
# different selections
= (# ways of choosing two colours) × (# ways of choosing curtain) × (# ways of choosing carpet) × (# ways of choosing furniture)
= 21 × 4 × 3 × 2
= 504
Answer:
the answer is 504 i am posotive
Step-by-step explanation: