The hand shaking in party.











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Problem. There are $n$ people at a party. Find the number of possible difference variations that each person can shake hands with only $k$ others (the two people who repeat the actions, count them only once).



I got stuck on the problem.



I can not find the pattern or solve the problem.



Any help would be appreciated.










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    Please edit your question to show what you have attempted and explain where you got stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
    – N. F. Taussig
    Nov 12 at 16:44















up vote
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down vote

favorite
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Problem. There are $n$ people at a party. Find the number of possible difference variations that each person can shake hands with only $k$ others (the two people who repeat the actions, count them only once).



I got stuck on the problem.



I can not find the pattern or solve the problem.



Any help would be appreciated.










share|cite|improve this question




















  • 1




    Please edit your question to show what you have attempted and explain where you got stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
    – N. F. Taussig
    Nov 12 at 16:44













up vote
0
down vote

favorite
2









up vote
0
down vote

favorite
2






2





Problem. There are $n$ people at a party. Find the number of possible difference variations that each person can shake hands with only $k$ others (the two people who repeat the actions, count them only once).



I got stuck on the problem.



I can not find the pattern or solve the problem.



Any help would be appreciated.










share|cite|improve this question















Problem. There are $n$ people at a party. Find the number of possible difference variations that each person can shake hands with only $k$ others (the two people who repeat the actions, count them only once).



I got stuck on the problem.



I can not find the pattern or solve the problem.



Any help would be appreciated.







probability combinations






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share|cite|improve this question













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share|cite|improve this question








edited Nov 12 at 16:43









N. F. Taussig

42.3k93254




42.3k93254










asked Nov 12 at 16:35









James Thomas

493




493








  • 1




    Please edit your question to show what you have attempted and explain where you got stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
    – N. F. Taussig
    Nov 12 at 16:44














  • 1




    Please edit your question to show what you have attempted and explain where you got stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
    – N. F. Taussig
    Nov 12 at 16:44








1




1




Please edit your question to show what you have attempted and explain where you got stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
– N. F. Taussig
Nov 12 at 16:44




Please edit your question to show what you have attempted and explain where you got stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site.
– N. F. Taussig
Nov 12 at 16:44















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