GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Each member of the chorus must wear a shirt, slacks, and a s
[#permalink]
07 Jan 2021, 06:29
07 Jan 2021, 06:29
Expert Reply
1
Bookmarks
00:00
Question Stats:
94% (00:48) correct
5% (01:36) wrong based on 18 sessions
Hide Show timer Statistics
Each member of the chorus must wear a shirt, slacks, and a sweater, but no two people should have the same outfit. If sweaters are available in five different colors, shirts in six different colors, and slacks in three different colors, how many different costumes are possible?
A. 6
B. 14
C. 30
D. 90
E. 196
Kudos for the right answer and explanation
A. 6
B. 14
C. 30
D. 90
E. 196
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Each member of the chorus must wear a shirt, slacks, and a s
[#permalink]
19 Jan 2021, 10:08
19 Jan 2021, 10:08
1
Carcass wrote:
Each member of the chorus must wear a shirt, slacks, and a sweater, but no two people should have the same outfit. If sweaters are available in five different colors, shirts in six different colors, and slacks in three different colors, how many different costumes are possible?
A. 6
B. 14
C. 30
D. 90
E. 196
A. 6
B. 14
C. 30
D. 90
E. 196
Note: If you happened to be thrown off by the part of the question that reads "no two people should have the same outfit," don't worry; that part is irrelevant, since the question later asks "How many different costumes are possible?"
Take the task of creating different outfits (aka costumes) and break it into stages.
Stage 1: Select a sweater color
Since there are 5 colors from which to choose, we can complete stage 1 in 5 ways
Stage 2: Select a shirt color
Since there are 3 colors from which to choose, we can complete stage 2 in 6 ways
Stage 3: Select a color for the slacks
Since there are 3 colors from which to choose, we can complete stage 3 in 3 ways
By the Fundamental Counting Principle (FCP), we can complete all 3 stages (and thus create an outfit) in (5)(6)(3) ways (= 90 ways)
Answer: D
Note: the FCP can be used to solve the MAJORITY of counting questions on the GRE. So, be sure to learn it.
RELATED VIDEOS
gmatclubot
Re: Each member of the chorus must wear a shirt, slacks, and a s [#permalink]
19 Jan 2021, 10:08
Moderators:
