NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 14:31 It is currently 26 Apr 2024, 14:31
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A jar holds 4 red, 3 green and 6 white marbles. How many dif

User avatar
L
stne
SVP
SVP
Joined: 27 May 2012
Posts: 1680
Own Kudos [?]: 1424 [0]
Given Kudos: 632
Send PM
A jar holds 4 red, 3 green and 6 white marbles. How many dif [#permalink] New post   09 Sep 2012, 04:54
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Hide Show timer Statistics
A jar holds 4 red, 3 green and 6 white marbles. How many different ways can you pick 6 marbles so that you have at least one of each color"


sorry : The source did not have any answer choices.

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
premnath
Manager
Manager
Joined: 24 Jul 2011
Posts: 57
Own Kudos [?]: 419 [0]
Given Kudos: 5
Location: India
Concentration: Strategy, General Management
GMAT 1: 670 Q49 V33
WE:Asset Management (Manufacturing)
Send PM
Re: A jar holds 4 red, 3 green and 6 white marbles. How many dif [#permalink] New post   09 Sep 2012, 06:08
stne wrote:
A jar holds 4 red, 3 green and 6 white marbles. How many different ways can you pick 6 marbles so that you have at least one of each color"


sorry : The source did not have any answer choices.



If 1 red , 1 green and 1 white are chosen, the we need to choose 3 more marbles from out of 3 red, 2 green, and 6 white marbles.
So, Form 3+2+5=10 marbles we need to choose 3 marbles.
This can be done \(^{10}C\)\(^3\)Ways.
\(={10*9*8*7!}/{7!*3!}\)
=120
avatar
mandyrhtdm
Manager
Manager
Joined: 05 Jul 2012
Posts: 53
Own Kudos [?]: 142 [0]
Given Kudos: 8
Location: India
Concentration: Finance, Strategy
GMAT Date: 09-30-2012
GPA: 3.08
WE:Engineering (Energy and Utilities)
Send PM
Re: A jar holds 4 red, 3 green and 6 white marbles. How many dif [#permalink] New post   09 Sep 2012, 07:21
stne wrote:
A jar holds 4 red, 3 green and 6 white marbles. How many different ways can you pick 6 marbles so that you have at least one of each color"


sorry : The source did not have any answer choices.


\((x+x^2+x^3+x^4)(x+x^2+x^3)(x+x^2+x^3.......+x^6)\)

find the coefficient of\(x^6\) in this expansion.
User avatar
EvaJager
Director
Director
Joined: 22 Mar 2011
Posts: 520
Own Kudos [?]: 2136 [2]
Given Kudos: 43
WE:Science (Education)
Send PM
Re: A jar holds 4 red, 3 green and 6 white marbles. How many dif [#permalink] New post   09 Sep 2012, 10:38
2
Kudos
premnath wrote:
stne wrote:
A jar holds 4 red, 3 green and 6 white marbles. How many different ways can you pick 6 marbles so that you have at least one of each color"


sorry : The source did not have any answer choices.



If 1 red , 1 green and 1 white are chosen, the we need to choose 3 more marbles from out of 3 red, 2 green, and 6 white marbles.
So, Form 3+2+5=10 marbles we need to choose 3 marbles.
This can be done \(^{10}C\)\(^3\)Ways.
\(={10*9*8*7!}/{7!*3!}\)
=120


Far too many possibilities. The balls of the same color are assumed to be identical, what matters is just the number of balls of each color.
R - red, G - green, W - white
After we have chosen one of each type, we need 3 more balls to chose from 3R, 2G and 5W.
The question is about choosing the colors rather than specific balls.

We can again choose one of each color - 1R, 1G, 1W - 1 possibility
2 of one color and the third one of a different color - choose the color for two balls, then the color for the one ball - 3*2 = 6 possibilities
3 balls of the same color - only 2 possibilities - we don't have 3G balls left

Therefore, a total of 1+6+2=9 possibilities.

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: A jar holds 4 red, 3 green and 6 white marbles. How many dif [#permalink]
09 Sep 2012, 10:38
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions