n people shake hands at the start of the meeting . If there are 36 handshakes in all , find the value of n .
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$\displaystyle {n \choose 2} = 36 \mbox{ then }n=?$
n C = n(n-1) =36 2 1*2 Combinations ( ways to choose two from n people ) solve quadratic equation and ignore negative solution Answer = 9
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