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# Math

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Intern
Joined: 14 Feb 2017
Posts: 15

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18 Feb 2017, 09:45
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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18 Feb 2017, 14:23
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.

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Math Expert
Joined: 02 Aug 2009
Posts: 6558

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18 Feb 2017, 20:22
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

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: Math &nbs [#permalink] 18 Feb 2017, 20:22
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