SOLUTION: if n people attened a social gathering and each person shakes hands with each of the other peopleexactly once, then the number of handshakesthat will take place is give by the form

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: if n people attened a social gathering and each person shakes hands with each of the other peopleexactly once, then the number of handshakesthat will take place is give by the form      Log On


   

Question 35709: if n people attened a social gathering and each person shakes hands with each of the other peopleexactly once, then the number of handshakesthat will take place is give by the formula n(n-1)= 36 handskes occured?
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Answer by venugopalramana(3286) About Me  (Show Source):
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if n people attened a social gathering and each person shakes hands with each of the other peopleexactly once, then the number of handshakesthat will take place is give by the formula n(n-1)= 36 handskes occured?
FORMULA IS NC2
THAT IS N(N-1)/2=36
N(N-1)=72
HENCE N=9 BY INSPECTION SINCE 9*(9-1)=9*8=72