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Math

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Intern
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Joined: 14 Feb 2017
Posts: 15
Math  [#permalink]

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New post 18 Feb 2017, 08:45
A,B and C have 5 donuts to share. If any one of the men can be given any whole number of donuts from 0-5, in how many different ways can the donuts be distributed?
A. 21
B. 42
C. 120
D. 504
E. 5040


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Re: Math [#permalink]

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New post 18 Feb 2017, 13:23
Hi kindKaranStern,

In the future, you should post your GMAT questions to the specific sub-Forum for that question. The Problem Solving Forum can be found here:

https://gmatclub.com/forum/gmat-problem-solving-ps-140/

As an aside, you can 'brute force' the solution to this question rather easily. Since the donuts are NOT unique, you could 'map out' the number of possibilities rather easily.

Final Answer:
[Reveal] Spoiler:
A


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Re: Math [#permalink]

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New post 18 Feb 2017, 19:22
kindKaranStern wrote:
A,B and C have 5 donuts to share. If any one of the men can be given any whole number of donuts from 0-5, in how many different ways can the donuts be distributed?
A. 21
B. 42
C. 120
D. 504
E. 5040


Sent from my iPhone using GMAT Club Forum mobile app


Hi..

Ways 5 ball can be distributed..
1) 5,0,0... --- 3 ways
2) 4,1,0...---3!=6ways
3) 3,2,0...---3!=6ways
4) 3,1,1....-- 3!/2!=3ways
5) 2,2,1...----3!/2!=3ways..

Total 3+6+6+3+4=21ways

A
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Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


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Re: Math   [#permalink] 18 Feb 2017, 19:22
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