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

 It is currently 18 Aug 2018, 11:32

### 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

# Find the probability that a 4 person committee chosen at ran

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

### Hide Tags

Intern
Joined: 14 Dec 2009
Posts: 19
Find the probability that a 4 person committee chosen at ran  [#permalink]

### Show Tags

14 Dec 2009, 21:05
2
4
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (00:42) wrong based on 15 sessions

### HideShow timer Statistics

Find the probability that a 4 person committee chosen at random from a group consisting of 6 men, 7 women, and 5 children contains:

A) exactly 1 woman
B) at least 1 woman
C) at most 1 woman
Manager
Joined: 09 May 2009
Posts: 188

### Show Tags

14 Dec 2009, 23:11
5
A) 7C1* 11C3/ 18C4
B) 1 - (11C4/18C4)
C) (11C4/18C4) + (7C1*11C3/18C4)
_________________

GMAT is not a game for losers , and the moment u decide to appear for it u are no more a loser........ITS A BRAIN GAME

##### General Discussion
SVP
Joined: 06 Sep 2013
Posts: 1851
Concentration: Finance

### Show Tags

27 Feb 2014, 09:46
Find the probability that a 4 person committee chosen at random from a group consisting of 6 men, 7 women, and 5 children contains:

A) exactly 1 woman
B) at least 1 woman
C) at most 1 woman

Let's see here's what I got for this one:

A) W (NW) (NW)

3C2* (7/18)(11/17)(10/16)

B) 1 - P (NW)
1 - (11/18)(10/17)(9/6)

C) At most 1 woman is either none or 1 women hence

(11/18)(10/17)(9/16) + (7/18)(11/17)(10/16)

Bunuel does this look OK? I'm specially concerned about the first case. Do we need to 3C2 for order of them? Cause we could have W (M) (C) in which case we would have 3! instead of 3C2.

Many thanks!
Cheers
J

Bumpingggg
Math Expert
Joined: 02 Aug 2009
Posts: 6549
Re: Find the probability that a 4 person committee chosen at ran  [#permalink]

### Show Tags

22 Jun 2016, 09:30
1
delta09 wrote:
Find the probability that a 4 person committee chosen at random from a group consisting of 6 men, 7 women, and 5 children contains:

A) exactly 1 woman
B) at least 1 woman
C) at most 1 woman

Hi,

the way you should work on each is..
6M, 7W and 5C.... 4 person committe to be made..

A) exactly 1 woman
Choose 1 women out of 7 = 7C1..
choose rest 3 out of 6M and 5C = 11C3..
ans $$= 7C1*11C3..$$

B) at least 1 woman
Total ways = $$(6+7+5)C4 = 18C4$$...
ways NO women is choosen = $$(6+5)C4 = 11C4$$...
ways atleast ONE women is choosen = $$18C4 - 11C4$$...

C) at most 1 woman
So 1 women or no women..
No women = 11C4..
1 women (from A) = 7C1*11C3..
ans = $$11C4+7C1*11C3$$
_________________

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: 7759
Re: Find the probability that a 4 person committee chosen at ran  [#permalink]

### Show Tags

30 Jan 2018, 04:44
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: Find the probability that a 4 person committee chosen at ran &nbs [#permalink] 30 Jan 2018, 04:44
Display posts from previous: Sort by

# Find the probability that a 4 person committee chosen at ran

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

# Events & Promotions

 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®.