GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Oct 2018, 18:07

### 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

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

# Company X has 6 regional offices. Each regional office must recommend

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

### Hide Tags

Manager
Status: Final Call! Will Achieve Target ANyHow This Tym! :)
Joined: 05 Jan 2016
Posts: 82
Location: India
GMAT 1: 620 Q49 V25
GPA: 3.8
Company X has 6 regional offices. Each regional office must recommend  [#permalink]

### Show Tags

Updated on: 05 Jun 2016, 12:57
4
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (00:51) wrong based on 16 sessions

### HideShow timer Statistics

Company X has 6 regional offices. Each regional office must recommend two candidates, one male and one female, to serve on the corporate auditing committee. If each of the offices must be represented by exactly one member on the auditing committee and if the committee must consist of an equal number of male and female employees, how many different committees can be formed?
_________________

Regards,
Varun

Trying my best..... will succeed definitely! :)

The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long.
+1 Kudos if you find this post helpful. :)

Do Check OG 2017 SC Solutions - http://gmatwithcj.com/solutions-gmat-official-guide-2017-sentence-correction-questions/

Originally posted by vnigam21 on 05 Jun 2016, 12:46.
Last edited by Bunuel on 05 Jun 2016, 12:57, edited 1 time in total.
RENAMED THE TOPIC.
Manager
Status: Final Call! Will Achieve Target ANyHow This Tym! :)
Joined: 05 Jan 2016
Posts: 82
Location: India
GMAT 1: 620 Q49 V25
GPA: 3.8
Re: Company X has 6 regional offices. Each regional office must recommend  [#permalink]

### Show Tags

05 Jun 2016, 21:41
1
1
This is an easy question. I tried again and I was able to solve.

As the question says, If each of the offices must be represented by exactly one member on the auditing committee and there are 6 Regional Offices, so each of the regional offices will be represented by 6 members on the auditing committee.

Also, as per question, committee must consist of an equal number of male and female employees that is 3 Male members and 3 Female members. So, the question is now simply reduced to the possible number of arrangements for MMMBBB.

It can be done in 6!/3!3! ways that is equal to 20.
_________________

Regards,
Varun

Trying my best..... will succeed definitely! :)

The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long.
+1 Kudos if you find this post helpful. :)

Do Check OG 2017 SC Solutions - http://gmatwithcj.com/solutions-gmat-official-guide-2017-sentence-correction-questions/

Senior Manager
Joined: 18 Jan 2010
Posts: 252
Re: Company X has 6 regional offices. Each regional office must recommend  [#permalink]

### Show Tags

05 Jun 2016, 22:31
2
vnigam21 wrote:
This is an easy question. I tried again and I was able to solve.

As the question says, If each of the offices must be represented by exactly one member on the auditing committee and there are 6 Regional Offices, so each of the regional offices will be represented by 6 members on the auditing committee.

Also, as per question, committee must consist of an equal number of male and female employees that is 3 Male members and 3 Female members. So, the question is now simply reduced to the possible number of arrangements for MMMBBB.

It can be done in 6!/3!3! ways that is equal to 20.

This question is of selection and not of arrangement. Please review.
Manager
Joined: 29 Nov 2011
Posts: 102
Re: Company X has 6 regional offices. Each regional office must recommend  [#permalink]

### Show Tags

05 Jun 2016, 23:06
1
chetan2u Abhishek009, please tell me what m i missing here
Each office has two candidates M and F , so this way we got 6 M and 6 F
now question says only 1 M or F will be represent his/her office.
so my understanding says if M is selected than his counterpart F will not, and vice versa.
So 6M and 6F
so selection will be 6c3*3c3
where 6c3 represents 3 males out of 6 and 3c3 represents remaining 3 females , which are not male counterpart.
similarly we have case for female 6c3 * 3c3
so ultimatly we 2 6c3= 40.
Please correct me where I am wrong.
Math Expert
Joined: 02 Aug 2009
Posts: 6961
Re: Company X has 6 regional offices. Each regional office must recommend  [#permalink]

### Show Tags

06 Jun 2016, 03:18
1
chetan2u Abhishek009, please tell me what m i missing here
Each office has two candidates M and F , so this way we got 6 M and 6 F
now question says only 1 M or F will be represent his/her office.
so my understanding says if M is selected than his counterpart F will not, and vice versa.
So 6M and 6F
so selection will be 6c3*3c3
where 6c3 represents 3 males out of 6 and 3c3 represents remaining 3 females , which are not male counterpart.
similarly we have case for female 6c3 * 3c3
so ultimatly we 2 6c3= 40.
Please correct me where I am wrong.

Hi,

the method or formula you are working on, is not correct here...

when you make a group of 3 from 6, the other group is automatically made as only 3 are left after choosing initial 3, and the same will be applicable here ..

Ways to divide 2 groups of 3 each from 6 members....
say ABCDEF are 6 persons and you choose ABC in 6C3, another group DEF is automaticaly formed..
so when you choose DEF in 6C3, ABC is also formed and thus there is a repetition and that is why divison by 2!..
ans 6C3/2!.....
But as you have found 2 * 6C3, which ACTUALLY should be$$2*\frac{6C3}{2!} = 6C3.$$....

SOLUTION : Another way :-

Let the 6 companies be ABCDEF..
Now the 3 we choose in 6C3 send male and the remaining 3 will send female....
so we basically find HOW many ways 2 teams of 3 each can be choosen out of 6 = 6!/3!3!2!= 10..

But each team will once send MALE and other time FEMALE ...
so ans = 10*2 = 20
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Non-Human User
Joined: 09 Sep 2013
Posts: 8459
Re: Company X has 6 regional offices. Each regional office must recommend  [#permalink]

### Show Tags

24 Nov 2017, 12:35
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.
_________________
Re: Company X has 6 regional offices. Each regional office must recommend &nbs [#permalink] 24 Nov 2017, 12:35
Display posts from previous: Sort by

# Company X has 6 regional offices. Each regional office must recommend

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.