Last visit was: 24 Apr 2026, 02:18 It is currently 24 Apr 2026, 02:18
Home
Messages
Tests
Schools
Events
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
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,802
Own Kudos:
810,918
 [7]
Given Kudos: 105,868
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,802
Kudos: 810,918
 [7]
In a puzzle game, Tran was given the word STRUM. How many unique three 07 Apr 2019, 21:17
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

77% (00:49) correct 23% (00:59) wrong based on 137 sessions

History

Date
Time
Result
Not Attempted Yet
In a puzzle game, Tran was given the word STRUM. How many unique three-letter arrangements are possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240
ShowHide Answer
Official Answer
B
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 23 Apr 2026
Posts: 8,628
Own Kudos:
5,190
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests Forum Quiz
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,628
Kudos: 5,190
In a puzzle game, Tran was given the word STRUM. How many unique three 08 Apr 2019, 00:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
In a puzzle game, Tran was given the word STRUM. How many unique three-letter arrangements are possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240
Show more

total characters ; 5
and 3 letter which can be arranged with replacement ; 5*4*3 ; 60
IMO B
avatar
IIMC
avatar
Joined: 27 Dec 2015
Last visit: 21 Dec 2020
Posts: 16
Own Kudos:
7
 [1]
Given Kudos: 1,190
Posts: 16
Kudos: 7
 [1]
In a puzzle game, Tran was given the word STRUM. How many unique three 04 Jun 2019, 08:00
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
In a puzzle game, Tran was given the word STRUM. How many unique three-letter arrangements are possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240
Show more

why repetitions are not allowed. It can be 5*5*5 = 125 also.
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 23 Apr 2026
Posts: 8,628
Own Kudos:
5,190
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests Forum Quiz
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,628
Kudos: 5,190
In a puzzle game, Tran was given the word STRUM. How many unique three 04 Jun 2019, 09:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IIMC
Bunuel
In a puzzle game, Tran was given the word STRUM. How many unique three-letter arrangements are possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240

why repetitions are not allowed. It can be 5*5*5 = 125 also.
Show more

IIMC ; see highlighted part
User avatar
nick1816
User avatar
Retired Moderator
Joined: 19 Oct 2018
Last visit: 12 Mar 2026
Posts: 1,841
Own Kudos:
8,509
Given Kudos: 707
Location: India
Posts: 1,841
Kudos: 8,509
In a puzzle game, Tran was given the word STRUM. How many unique three 04 Jun 2019, 19:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Number of unique three-letter arrangements are possible using the letters of the STRUM
= 5C3*3!
=10*6=60

Bunuel
In a puzzle game, Tran was given the word STRUM. How many unique three-letter arrangements are possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240
Show more
avatar
pulak1988
avatar
Joined: 15 Jan 2019
Last visit: 09 Sep 2020
Posts: 48
Own Kudos:
6
Given Kudos: 249
Location: India
Schools: ISB '20 IIMA Rotman '22 GMBA '21 (S)
GMAT 1: 650 Q42 V38
GPA: 4
Schools: ISB '20 IIMA Rotman '22 GMBA '21 (S)
GMAT 1: 650 Q42 V38
Posts: 48
Kudos: 6
In a puzzle game, Tran was given the word STRUM. How many unique three 04 Jun 2019, 21:15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Archit3110
IIMC
Bunuel
In a puzzle game, Tran was given the word STRUM. How many unique three-letter arrangements are possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240

why repetitions are not allowed. It can be 5*5*5 = 125 also.

IIMC ; see highlighted part
Show more

THAT DOESNT MEAN IT SAYING NO REPETITION.?
avatar
ankitprad
avatar
Joined: 18 Jul 2019
Last visit: 22 Dec 2020
Posts: 33
Own Kudos:
50
Given Kudos: 128
Posts: 33
Kudos: 50
In a puzzle game, Tran was given the word STRUM. How many unique three 06 Sep 2019, 05:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nick1816
Number of unique three-letter arrangements are possible using the letters of the STRUM
= 5C3*3!
=10*6=60

Bunuel
In a puzzle game, Tran was given the word STRUM. How many unique three-letter arrangements are possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240
Show more


Hi Can you please tell me why did we multiply after 5C3 with 3! ?? and why is not 5P3?
User avatar
nick1816
User avatar
Retired Moderator
Joined: 19 Oct 2018
Last visit: 12 Mar 2026
Posts: 1,841
Own Kudos:
8,509
 [1]
Given Kudos: 707
Location: India
Posts: 1,841
Kudos: 8,509
 [1]
In a puzzle game, Tran was given the word STRUM. How many unique three 06 Sep 2019, 05:39
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We can directly find the permutations by using 5P3=\(\frac{5!}{(5-3)!}\)=60

Or
We can choose 3 distinct letters from STRUM. Number of ways= 5C3. Then, we arrange those 3 letters. Total possible arrangements of 3 letters= 3!
Total unique three-letter arrangements possible= 5C3*3!=60

ankitprad
nick1816
Number of unique three-letter arrangements are possible using the letters of the STRUM
= 5C3*3!
=10*6=60

Bunuel
In a puzzle game, Tran was given the word STRUM. How many unique three-letter arrangements are possible using the letters of the word?

A. 15

B. 60

C. 90

D. 120

E. 240


Hi Can you please tell me why did we multiply after 5C3 with 3! ?? and why is not 5P3?
Show more
Moderators:
Bunuel
Math Expert
109802 posts
Krunaal
Tuck School Moderator
853 posts