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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

There are 8 students. 4 of them are men and 4 of them are women. If 4 [#permalink]

Show Tags

06 Apr 2010, 08:30

1

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

65% (02:40) correct
35% (02:00) wrong based on 60 sessions

HideShow timer Statistics

There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability that the number of men is equal to that of women?

Re: There are 8 students. 4 of them are men and 4 of them are women. If 4 [#permalink]

Show Tags

06 Apr 2010, 08:43

utin wrote:

There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability that the number of men is equal to that of women?

A.18/35 B16/35 C.14/35 D.13/35 E.12/35

According to me answer shall be= 4/8 * 3/7 * 4/6 * 3/5

Were I am wrong???Please explain

probability that the number of men is equal to that of women so 2 men and 2 women = (4C2*4C2)/8C4 = 18/35 hence A.

Re: There are 8 students. 4 of them are men and 4 of them are women. If 4 [#permalink]

Show Tags

06 Apr 2010, 16:22

1

This post received KUDOS

utin wrote:

There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability that the number of men is equal to that of women?

A.18/35 B16/35 C.14/35 D.13/35 E.12/35

According to me answer shall be= 4/8 * 3/7 * 4/6 * 3/5

Were I am wrong???Please explain

You calculated probability of one way in which in which 2 men and 2 women can be selected. But there are 6 different ways in which the selection can happen MMWW, MWMW ,MWWM, WWMM, WMWM,WMMW or 4!/2!2! . So you have to multiply the probability with 6.

Re: There are 8 students. 4 of them are men and 4 of them are women. If 4 [#permalink]

Show Tags

07 Apr 2010, 09:24

crack700 wrote:

utin wrote:

There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability that the number of men is equal to that of women?

A.18/35 B16/35 C.14/35 D.13/35 E.12/35

According to me answer shall be= 4/8 * 3/7 * 4/6 * 3/5

Were I am wrong???Please explain

You calculated probability of one way in which in which 2 men and 2 women can be selected. But there are 6 different ways in which the selection can happen MMWW, MWMW ,MWWM, WWMM, WMWM,WMMW or 4!/2!2! . So you have to multiply the probability with 6.

6 *4/8 * 3/7 * 4/6 * 3/5 = 18/35

Thanks for clearing my confusion!!! ...thanks a lot...

Re: There are 8 students. 4 of them are men and 4 of them are women. If 4 [#permalink]

Show Tags

16 Jun 2015, 18:02

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. _________________

There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability that the number of men is equal to that of women?

A. 18/35 B. 16/35 C. 14/35 D. 13/35 E. 12/35

According to me answer shall be= 4/8 * 3/7 * 4/6 * 3/5

Were I am wrong???Please explain

METHOD-1:

Favorable outcomes (i.e. No. of Men= No. of Women =2) = 4C2 * 4C2 = 6*6 = 36

Total ways of selecting 4 out of 8 Students = 8C4 = 8! / (4! * 4!) = 70

METHOD-2: Also see the mistake done by the person who posted this question

Probability of First selected person being Man = 4/8 Probability of Second selected person being Man = 3/7 Probability of First selected person being Woman = 4/6 Probability of Second selected person being Woman = 3/5

i.e. Probability = (4/8)*(3/7)*(4/6)*(3/5) * [4!/(2!*2!)] = 18/35

The important part for the readers is to understand the reason of multiplying [4!/(2!*2!)] here

When we take the probability of each case like we have have taken in this method then it always include ARRANGEMENTS as well and so we have to take every arrangement of the events as well

The arrangement of these 4 events can be done in 4! ways but since the second man can't be selected before 1st so we have to exclude their arrangement by dividing by 2! and similarly since the second Woman can't be selected before 1st so we have to exclude their arrangement by dividing by 2!

READ:http://gmatclub.com/forum/620-to-760-getting-reborn-161230.html Classroom Centre Address: GMATinsight 107, 1st Floor, Krishna Mall, Sector-12 (Main market), Dwarka, New Delhi-110075 ______________________________________________________ Please press the if you appreciate this post !!

Re: There are 8 students. 4 of them are men and 4 of them are women. If 4 [#permalink]

Show Tags

13 Feb 2016, 17:45

utin wrote:

There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability that the number of men is equal to that of women?

A. 18/35 B. 16/35 C. 14/35 D. 13/35 E. 12/35

8C4 = 70

to select 2 men and 2 women, we can in 4C2*4C2 ways, or 36 ways. the probability will thus be 36/70 or 18/35.

A

gmatclubot

Re: There are 8 students. 4 of them are men and 4 of them are women. If 4
[#permalink]
13 Feb 2016, 17:45

Check out this awesome article about Anderson on Poets Quants, http://poetsandquants.com/2015/01/02/uclas-anderson-school-morphs-into-a-friendly-tech-hub/ . Anderson is a great place! Sorry for the lack of updates recently. I...

As you leave central, bustling Tokyo and head Southwest the scenery gradually changes from urban to farmland. You go through a tunnel and on the other side all semblance...

Ghibli studio’s Princess Mononoke was my first exposure to Japan. I saw it at a sleepover with a neighborhood friend after playing some video games and I was...