GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 17 Jan 2020, 09:28

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

If a class of 10 students has five men, how many ways can the men and

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60460
If a class of 10 students has five men, how many ways can the men and  [#permalink]

Show Tags

New post 07 Nov 2019, 02:22
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

37% (01:09) correct 63% (01:28) wrong based on 46 sessions

HideShow timer Statistics

GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5691
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: If a class of 10 students has five men, how many ways can the men and  [#permalink]

Show Tags

New post 07 Nov 2019, 10:11
Bunuel wrote:
If a class of 10 students has five men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?

A. 5!4!
B. 5!5!
C. 4!4!
D. 10!
E. 10!/5!


Are You Up For the Challenge: 700 Level Questions


its a question of circular arrangement with condition that no two men sit next to each other or say that a woman sits b/w two men
so men 1st position is fixed and can be arranged in 4! ways and women be arranged in 5! ways
IMO A ; 5!4!
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9031
Location: United States (CA)
Re: If a class of 10 students has five men, how many ways can the men and  [#permalink]

Show Tags

New post 12 Nov 2019, 20:36
1
1
Bunuel wrote:
If a class of 10 students has five men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?

A. 5!4!
B. 5!5!
C. 4!4!
D. 10!
E. 10!/5!


Are You Up For the Challenge: 700 Level Questions


If no two men sit next to each other, a man must sit between two women. Since there are an equal number of men and women, it must be true that no two women are sitting to each other also (because a woman must sit between two men also). In other words, the men and women sit alternately next to each other. Since we have a circular arrangement, we use the circular permutations formula, and so the number of ways to arrange the 5 men is (5 - 1)! = 4!. However, since there are 5 seats remaining, the number of ways to arrange the women is 5!. Thus, the total number of ways the men and women can be arranged in a circle so that men and women sit alternately next to each other is 4! x 5!.

Answer: A
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
181 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: If a class of 10 students has five men, how many ways can the men and   [#permalink] 12 Nov 2019, 20:36
Display posts from previous: Sort by

If a class of 10 students has five men, how many ways can the men and

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne