Last visit was: 10 Jul 2025, 12:44 It is currently 10 Jul 2025, 12:44
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Ansh777
Joined: 03 Nov 2019
Last visit: 06 Jun 2023
Posts: 57
Own Kudos:
167
 [12]
Given Kudos: 129
Location: India
GMAT 1: 710 Q50 V36
2
Kudos
Add Kudos
9
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
rajatchopra1994
Joined: 16 Feb 2015
Last visit: 22 Jun 2024
Posts: 1,059
Own Kudos:
1,205
 [7]
Given Kudos: 30
Location: United States
Posts: 1,059
Kudos: 1,205
 [7]
7
Kudos
Add Kudos
Bookmarks
Bookmark this Post
General Discussion
User avatar
QuantMadeEasy
Joined: 28 Feb 2014
Last visit: 25 Jun 2025
Posts: 502
Own Kudos:
Given Kudos: 78
Location: India
Concentration: General Management, International Business
GPA: 3.97
WE:Engineering (Education)
Posts: 502
Kudos: 744
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
LidiiaShchichko
Joined: 25 Dec 2018
Last visit: 02 Apr 2020
Posts: 14
Own Kudos:
Given Kudos: 431
Posts: 14
Kudos: 12
Kudos
Add Kudos
Bookmarks
Bookmark this Post
7!/(3!*2!)
I guess it should be C

Posted from my mobile device
User avatar
rajatchopra1994
Joined: 16 Feb 2015
Last visit: 22 Jun 2024
Posts: 1,059
Own Kudos:
Given Kudos: 30
Location: United States
Posts: 1,059
Kudos: 1,205
Kudos
Add Kudos
Bookmarks
Bookmark this Post
kapil1
Ansh777
Words are created by rearranging letters of the word SUCCESS and arranged alphabetically. Then what is the position of word SUCCESS?

A) 331
B) 330
C) 420
D) 240
E) 720
words starting from:
1) C: 6!/3! =120
2) E: 6!/(3!x2!) = 60
3) S: 6!/(2!x2!) = 180
4) U: 6!/(3!x2!) = 60
Not Required
5) SC: 5!/2! = 60
6) SE: 5!/(2!x2!) = 30
7) SS: 5!/2! = 60


Total words till now: 120+60+180+60+60+30+60 = 570
Options A, B, C, D are eliminated

IMO E.

Dear kapil1 ,

Why are you Going for U alphabet? I didn't understand that. It is not required. As S Comes first.
Hope you get your mistake

Regards,
Rajat Chopra
User avatar
QuantMadeEasy
Joined: 28 Feb 2014
Last visit: 25 Jun 2025
Posts: 502
Own Kudos:
Given Kudos: 78
Location: India
Concentration: General Management, International Business
GPA: 3.97
WE:Engineering (Education)
Posts: 502
Kudos: 744
Kudos
Add Kudos
Bookmarks
Bookmark this Post
rajatchopra1994
kapil1
Ansh777
Words are created by rearranging letters of the word SUCCESS and arranged alphabetically. Then what is the position of word SUCCESS?

A) 331
B) 330
C) 420
D) 240
E) 720
words starting from:
1) C: 6!/3! =120
2) E: 6!/(3!x2!) = 60
3) S: 6!/(2!x2!) = 180
4) U: 6!/(3!x2!) = 60
Not Required
5) SC: 5!/2! = 60
6) SE: 5!/(2!x2!) = 30
7) SS: 5!/2! = 60


Total words till now: 120+60+180+60+60+30+60 = 570
Options A, B, C, D are eliminated

IMO E.

Dear kapil1 ,

Why are you Going for U alphabet? I didn't understand that. It is not required. As S Comes first.
Hope you get your mistake

Regards,
Rajat Chopra
My bad.. edited it... Thanks :)
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 10 Jul 2025
Posts: 21,070
Own Kudos:
26,129
 [1]
Given Kudos: 296
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 21,070
Kudos: 26,129
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Ansh777
Words are created by rearranging letters of the word SUCCESS and arranged alphabetically. Then what is the position of word SUCCESS?

A) 331
B) 330
C) 420
D) 240
E) 720


We see that the first word (alphabetically) is CCESSSU, the second is CCESSUS, and so on. We need to determine the alphabetical position of the word SUCCESS. We will sometimes use the indistinguishable permutations formula because of the multiple occurrences of the letters C (2 times) and S (3 times).

If C is the first letter, then there are 6! / 3! = 720/6 = 120 ways to rearrange the other 6 letters. In other words, there are 120 words that begin with C.

If E is the first letter, then there are 6! / (2!3!) = 720 / (2 x 6) = 60 ways to rearrange the other 6 letters. In other words, there are 60 words that begins with E.

So far there are 180 words that begin with either C or E. Therefore, the next word must begin with S. So let’s assume the first letter is S:

- If the second letter is C, then there are 5! / 2! = 120/2 = 60 ways to rearrange the other 5 letters. In other words, there are 60 words that begins with SC.

- If the second letter is E, then there are 5! / (2!2!) = 120 / (2 x 2) = 30 ways to rearrange the other 5 letters. In other words, there are 30 words that begins with SE.

- If the second letter is S, then there are 5! / 2! = 120/2 = 60 ways to rearrange the other 5 letters. In other words, there are 60 words that begins with SS.

So far, there are 180 + 150 = 330 words up to the words with the first two letters are SS. Therefore, the next word must begin with SU and this word is exactly SUCCESS. So SUCCESS is in the 331st position.

Answer: A
User avatar
Crytiocanalyst
Joined: 16 Jun 2021
Last visit: 27 May 2023
Posts: 951
Own Kudos:
Given Kudos: 309
Posts: 951
Kudos: 202
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Ansh777
Words are created by rearranging letters of the word SUCCESS and arranged alphabetically. Then what is the position of word SUCCESS?

A) 331
B) 330
C) 420
D) 240
E) 720

Starting with C we can make 6!/3! =120

With E we can make 6!/ 2!*3! = 60

With SC we can make = 5! / 2! = 60

With SE we can make = 5! / 2! * 2! = 30

With SS we can make = 5!/2! = 60

and SUCCESS will be 331 word

THerefore IMO A
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,376
Own Kudos:
Posts: 37,376
Kudos: 1,010
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderators:
Math Expert
102624 posts
PS Forum Moderator
685 posts