Carcass wrote:
Flor is choosing three of five colors of paint to use for her art project at school. Two of the colors, Green and Yellow, cannot both be selected. How many different ways can Flor choose the colors for her project?
A. 7
B. 9
C. 10
D. 13
E. 17
In most cases, I'd probably use counting technique sounds with a question.
However, it's useful to note that, when the answer choices are so small (as they are here), we should also consider the straightforward strategy of
listing and countingLet R, B, P, G and Y represent the colors Red, Blue, Purple, Green and Yellow respectively.
Now let's list the possible outcomes that meet all of the given conditions:
- RBP
- RBG
- RBY
- RPG
- RPY
- BPG
- BPY
Done!! So, there are 7 possible outcomes
Answer: A
Cheers,
Brent