NEW HERE? LEARN MORE
closeclose
Last visit was: 03 May 2024, 18:32 It is currently 03 May 2024, 18:32
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A principal has four different trophies available for display in his

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93025
Own Kudos [?]: 621010 [4]
Given Kudos: 81742
Send PM
CAT Tests Forum Quiz Mode
A principal has four different trophies available for display in his [#permalink] New post   06 Mar 2019, 23:58
4
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

62% (00:52) correct 38% (00:52) wrong based on 187 sessions
Hide Show timer Statistics
A principal has four different trophies available for display in his two display cases. If only one trophy can fit in each display case, how many distinct ways are there to display two of the trophies in the cases at any given time?

A. 16

B. 12

C. 9

D. 8

E. 6
ShowHide Answer
Official Answer
B
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8024
Own Kudos [?]: 4110 [1]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User
Re: A principal has four different trophies available for display in his [#permalink] New post   07 Mar 2019, 05:12
1
Kudos
Bunuel wrote:
A principal has four different trophies available for display in his two display cases. If only one trophy can fit in each display case, how many distinct ways are there to display two of the trophies in the cases at any given time?

A. 16

B. 12

C. 9

D. 8

E. 6



4C2 * 2 = 6*2 = 12
IMO B
avatar
P
ananya3
Current Student
Joined: 05 Oct 2018
Posts: 108
Own Kudos [?]: 109 [0]
Given Kudos: 152
Location: India
Schools: Fuqua '24 Haas '24 ISB '23 Johnson '24 Kelley '24 Kenan-Flagler '24 McDonough '24 NUS Ross '24 Tepper '24 Tuck '24 Rotman '24 (A)
GMAT 1: 700 Q49 V36
GPA: 3.87
Send PM
GMAT ToolKit User
Re: A principal has four different trophies available for display in his [#permalink] New post   07 Mar 2019, 05:36
For the first display 4 possible options.
And after one trophy is selected for the first display, the second can be selected in 3 possible ways(for 3 trophies)
4*3 = 12 possible ways

Posted from my mobile device
User avatar
B
hopefulmba2021
Manager
Manager
Joined: 31 Aug 2020
Posts: 57
Own Kudos [?]: 26 [0]
Given Kudos: 39
Location: India
Concentration: Technology, General Management
Schools: IIML-IPMX '22 (A) IIMA PGPX'22 (D) IIMB EPGP'22 (D) IIMC PGPEX'22 (D)
GMAT 1: 710 Q48 V37
Send PM
A principal has four different trophies available for display in his [#permalink] New post   08 Oct 2020, 09:03
The question is just asking us to find how many combinations are possible to select 2 items out of 4 items.
So shouldnt the answer just be 4C2? Why are we multiplying 2 to that again?

But if I apply FCP rule, I can understand it should 4 x 3 (=12)

Can someone please clarify this doubt? This is confusing me a lot of combinations problems
User avatar
G
Sr1994
Retired Moderator
Joined: 28 Nov 2019
Posts: 223
Own Kudos [?]: 124 [0]
Given Kudos: 90
Location: India
Schools: ISB '24 Imperial
Send PM
Re: A principal has four different trophies available for display in his [#permalink] New post   09 Oct 2020, 23:17
The question says there are 2 display cases and there are 4 trophies

Now, let's take the 1st display case.

In the 1st case, the principal can place any of the 4 trophies. So, he keeps one of them there, ie, 4C1 = 4

Now, he has 3 trophies left with him and he can place any of the 3 trophies in the second display case. ie, 3C1 = 3

Now, we have to multiply them. 4C1 * 3C1 = 4*3 = 12

Answer B
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10160
Own Kudos [?]: 16636 [0]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: A principal has four different trophies available for display in his [#permalink] New post   10 Oct 2020, 10:50
Expert Reply
For first display we have '4' trophies and for second display we will have '3' trophies = 4 * 3 = 12

Answer B
GMAT Club Bot
gmatclubot
Re: A principal has four different trophies available for display in his [#permalink]
10 Oct 2020, 10:50
Moderators:
Bunuel
Math Expert
93025 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions