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Flor is choosing three of five colors of paint to use for her art

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Flor is choosing three of five colors of paint to use for her art

by BTGModeratorVI » Mon Sep 14, 2020 8:34 am

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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

Answer: A
Source: Princeton Review
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Re: Flor is choosing three of five colors of paint to use for her art

by Brent@GMATPrepNow » Sat Sep 19, 2020 6:05 am
BTGModeratorVI wrote: ↑
Mon Sep 14, 2020 8:34 am
 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

Answer: A
Source: Princeton Review
It's important to note that, when the answer choices are so small (as they are here), we should also consider the straightforward strategy of listing and counting

Let 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
Brent Hanneson - Creator of GMATPrepNow.com
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