It is currently 20 Nov 2018, 11:43
My Tests

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.

If the word “WOW” can be rearranged in exactly 3 ways (WOW,

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4721
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1625 [0], given: 389

CAT Tests
If the word “WOW” can be rearranged in exactly 3 ways (WOW, [#permalink] New post 05 Aug 2018, 14:33
Expert's post
00:00

Question Stats:

60% (00:59) correct 40% (00:37) wrong based on 5 sessions
If the word “WOW” can be rearranged in exactly 3 ways (WOW, OWW, WWO), how many different arrangements of the letters in “MISSISSIPPI” are possible?

[Reveal] Spoiler: OA
34650

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4721
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1625 [0], given: 389

CAT Tests
Re: If the word “WOW” can be rearranged in exactly 3 ways (WOW, [#permalink] New post 09 Aug 2018, 14:50
Expert's post
Explanation

This is a combinatorics problem, and the WOW example is intended to make it clear that any W is considered identical to any other W—switching one W with another would not result in a
different combination, just as switching one S with another in MISSISSIPPI would not result in a different combination.

Therefore, solve this problem using the classic combinatorics formula for accounting for subgroups among which order does not matter:

\(\frac{Total...number...of...items!}{First..group! \times Second...group!}\).

Because MISSISSIPPI has 11 letters, including 1 M, 4 S’s, 4 I’s, and 2 P’s:

\(\frac{11!}{1! \times 4! \times 4! \times 2!}\)

Now expand the factorials and cancel; use the calculator for the last step of the calculation: \(34,650\).
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
Intern
Intern
Joined: 10 Jun 2018
Posts: 32
Followers: 0

Kudos [?]: 14 [1] , given: 4

Re: If the word “WOW” can be rearranged in exactly 3 ways (WOW, [#permalink] New post 10 Aug 2018, 15:38
1
This post received
KUDOS
MISSISSIPPI has 4 M, 4 S and 2 I . Which means it can be arranged in 11!/4!*4!*2! = 34650
Re: If the word “WOW” can be rearranged in exactly 3 ways (WOW,   [#permalink] 10 Aug 2018, 15:38
Display posts from previous: Sort by

If the word “WOW” can be rearranged in exactly 3 ways (WOW,

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.