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

It is currently 18 Jun 2018, 17:57
Search
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
Unanswered

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar
CLICK HERE TO HIDE/SHOW EVENTS

In how many ways can 6 chocolates be distributed among 3 children? A c

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags
Expert Post
SVP
SVP
User avatar
P
Joined: 08 Jul 2010
Posts: 2114
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
In how many ways can 6 chocolates be distributed among 3 children? A c [#permalink]

Show Tags

New post 16 May 2017, 07:49
4
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

56% (23:25) correct 44% (02:01) wrong based on 97 sessions

HideShow timer Statistics

In how many ways can 6 chocolates be distributed among 3 children? A child may get any number of chocolates from 0 to 6 and all the chocolates are identical.

A) 21
B) 28
C) 56
D) 112
E) 224

SOURCE: http://www.GMATinsight.com
Spoiler: OA

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Senior Manager
Senior Manager
avatar
B
Joined: 13 Oct 2016
Posts: 367
GPA: 3.98
Re: In how many ways can 6 chocolates be distributed among 3 children? A c [#permalink]

Show Tags

New post 16 May 2017, 08:06
1
GMATinsight wrote:
In how many ways can 6 chocolates be distributed among 3 children? A child may get any number of chocolates from 0 to 6 and all the chocolates are identical.

A) 21
B) 28
C) 56
D) 112
E) 224

SOURCE: http://www.GMATinsight.com


Hi

Multichoosing problem.

We need to distribute 6 identical chocolates among 3 children: (\(x_1, x_2, x_3\) - # each one will get)

\(x_1 + x_2 + x_3 = 6\)

\(_{3+6-1}C_6 = _8C_6 = _8C_2 = \frac{8*7}{2} = 28\)

Answer B
Expert Post
2 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46129
Premium Member CAT Tests
Top Member of the Month
Re: In how many ways can 6 chocolates be distributed among 3 children? A c [#permalink]

Show Tags

New post 16 May 2017, 08:50
2
4
GMATinsight wrote:
In how many ways can 6 chocolates be distributed among 3 children? A child may get any number of chocolates from 0 to 6 and all the chocolates are identical.

A) 21
B) 28
C) 56
D) 112
E) 224

SOURCE: http://www.GMATinsight.com


DISTRIBUTING ITEMS/PEOPLE/NUMBERS... (QUESTION COLLECTION):



https://gmatclub.com/forum/in-how-many- ... 87128.html
https://gmatclub.com/forum/in-how-many- ... 25669.html
https://gmatclub.com/forum/larry-michae ... 08739.html
https://gmatclub.com/forum/in-how-many- ... 26991.html
https://gmatclub.com/forum/in-how-many- ... 98697.html
https://gmatclub.com/forum/how-many-pos ... 85291.html
https://gmatclub.com/forum/how-many-way ... 37198.html
https://gmatclub.com/forum/in-how-many- ... 41072.html
https://gmatclub.com/forum/mrs-smith-ha ... 98225.html
https://gmatclub.com/forum/in-how-many- ... 70689.html
https://gmatclub.com/forum/in-how-many- ... 05384.html
https://gmatclub.com/forum/four-boys-pi ... 98701.html
https://gmatclub.com/forum/how-many-way ... 61598.html
https://gmatclub.com/forum/in-how-many- ... 73423.html
http://gmatclub.com/forum/in-how-many-w ... 41070.html
https://gmatclub.com/forum/in-how-many- ... 64389.html
https://gmatclub.com/forum/in-how-many- ... 33322.html
https://gmatclub.com/forum/in-how-many- ... 31187.html
https://gmatclub.com/forum/in-how-many- ... 06279.html
https://gmatclub.com/forum/in-how-many- ... 26348.html
https://gmatclub.com/forum/in-how-many- ... 81816.html
https://gmatclub.com/forum/in-how-many- ... 34223.html
https://gmatclub.com/forum/in-how-many- ... 40328.html
https://gmatclub.com/forum/in-how-many- ... 40329.html

HARD (FOR PRACTICE): https://gmatclub.com/forum/5-rings-on-4 ... 86111.html
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Director
Director
avatar
S
Joined: 21 Mar 2016
Posts: 540
Reviews Badge
Re: In how many ways can 6 chocolates be distributed among 3 children? A c [#permalink]

Show Tags

New post 16 May 2017, 10:35
can be solve using stick method,,
imagine 2 sticks and 6 choclates ..
so.. it wud luk like this ||CCCCCC

permutation of the above = (8!/2! 6!) = 28

ans B
Director
Director
avatar
P
Joined: 14 Nov 2014
Posts: 667
Location: India
Schools: Rotman '20 (S)
GMAT 1: 700 Q50 V34
GPA: 3.76
Re: In how many ways can 6 chocolates be distributed among 3 children? A c [#permalink]

Show Tags

New post 16 May 2017, 10:46
GMATinsight wrote:
In how many ways can 6 chocolates be distributed among 3 children? A child may get any number of chocolates from 0 to 6 and all the chocolates are identical.

A) 21
B) 28
C) 56
D) 112
E) 224

SOURCE: http://www.GMATinsight.com


i took a bit long route -
3 +ve digit that can sum to 6
006-3 ways
051-6 ways
411-3 ways
321-6 ways
330- 3 ways
222- 1 way
204- 6 ways

total- 28 ways
1 KUDOS received
Senior Manager
Senior Manager
User avatar
S
Status: love the club...
Joined: 24 Mar 2015
Posts: 275
Re: In how many ways can 6 chocolates be distributed among 3 children? A c [#permalink]

Show Tags

New post 09 Jan 2018, 09:15
1
GMATinsight wrote:
In how many ways can 6 chocolates be distributed among 3 children? A child may get any number of chocolates from 0 to 6 and all the chocolates are identical.

A) 21
B) 28
C) 56
D) 112
E) 224

SOURCE: http://www.GMATinsight.com


hi

since chocolates are identical, and there are 3 children, we can think this way

c | c | c c c c

thus

8!
______
6! 2!

= 28, the answer
thanks

cheers, and do consider some kudos, guys
:cool:
Intern
Intern
avatar
B
Joined: 15 Aug 2017
Posts: 15
Re: In how many ways can 6 chocolates be distributed among 3 children? A c [#permalink]

Show Tags

New post 10 Jan 2018, 01:32
Using stick method,

permutation of the above = (8!/2! 6!) = 28

So B
Re: In how many ways can 6 chocolates be distributed among 3 children? A c   [#permalink] 10 Jan 2018, 01:32
Print view
First unread post
Display posts from previous: Sort by

In how many ways can 6 chocolates be distributed among 3 children? A c

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

Moderators: chetan2u, Bunuel, niks18, mikemcgarry, VeritasPrepKarishma, generis

Search for:


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions