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GMATT73
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Nakib wants to divide his computer engineering class of 40 08 Dec 2005, 08:35
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Nakib wants to divide his computer engineering class of 40 students into 8 groups of 5 students each. How many different groups are possible?



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Nakib wants to divide his computer engineering class of 40 08 Dec 2005, 10:05
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(40C5 * 35C5 * 30C5 * 25C5 * 20C5 * 15C5 * 10C5 * 5C5 ) / 8!

I will leave it MATT to compute it :P
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Nakib wants to divide his computer engineering class of 40 08 Dec 2005, 13:41
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duttsit,
can i use this approach..
40 C5 * 8!..

number of ways I can choose 5 people out of 40.. and than thinking of group as container.. 8!

???
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Nakib wants to divide his computer engineering class of 40 09 Dec 2005, 06:49
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duttsit
(40C5 * 35C5 * 30C5 * 25C5 * 20C5 * 15C5 * 10C5 * 5C5 ) / 8!

I will leave it MATT to compute it :P
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I think it is the only way to solve.
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Nakib wants to divide his computer engineering class of 40 09 Dec 2005, 09:46
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duttsit
(40C5 * 35C5 * 30C5 * 25C5 * 20C5 * 15C5 * 10C5 * 5C5 ) / 8!
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Duttsit, why do we need to divide by 8! ??
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Nakib wants to divide his computer engineering class of 40 09 Dec 2005, 09:58
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GMATT73
duttsit
(40C5 * 35C5 * 30C5 * 25C5 * 20C5 * 15C5 * 10C5 * 5C5 ) / 8!

Duttsit, why do we need to divide by 8! ??
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In this case, order of the groups does not matter. for example:

G2,G1,G3 is same as G1,G2,G3

this problem is an extension of :
https://www.gmatclub.com/phpbb/viewtopic.php?t=22316

let me know if you have question.

bewakoof, it should answer your question as well.
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GMATT73
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Nakib wants to divide his computer engineering class of 40 09 Dec 2005, 10:02
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Eliminating duplicate combinations... Got it! Thanks Duttsit.
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yb
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Nakib wants to divide his computer engineering class of 40 09 Dec 2005, 10:13
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Agree w/ duttsit. Thanks for the explanation
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rianah100
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Nakib wants to divide his computer engineering class of 40 09 Dec 2005, 17:35
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duttsit
GMATT73
duttsit
(40C5 * 35C5 * 30C5 * 25C5 * 20C5 * 15C5 * 10C5 * 5C5 ) / 8!

Duttsit, why do we need to divide by 8! ??

In this case, order of the groups does not matter. for example:

G2,G1,G3 is same as G1,G2,G3

this problem is an extension of :
https://www.gmatclub.com/phpbb/viewtopic.php?t=22316

let me know if you have question.

bewakoof, it should answer your question as well.
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I don't get it, I don't think you need to divide by 8!.



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Thank you for understanding, and happy exploring!