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# perm or comb? ps

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Director
Joined: 17 Oct 2005
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18 Jan 2006, 11:20
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There are 3 employees in a certain small company. How many ways can they shake hands with each other?
Director
Joined: 17 Dec 2005
Posts: 547
Location: Germany
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18 Jan 2006, 11:38
Hey Joe

it's a Combinations problem

3C2=3

In how many ways can thre employes shake 2 hands.
Director
Joined: 17 Oct 2005
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18 Jan 2006, 12:23

oa is 3
Senior Manager
Joined: 05 Jan 2006
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18 Jan 2006, 14:31
Yep this is easy C(3,2) = 3 (A shake hand with B or B with A are same so combination...)
CEO
Joined: 20 Nov 2005
Posts: 2896
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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18 Jan 2006, 17:06
I did this way.

Total Number of ways = 3 * 3 - 3(One can not shake hand with himself) = 6

Now divide it by two because A shaking hand with B and B shaking with A is same.

So final = 6/2 = 3
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

18 Jan 2006, 17:06
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