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20 people meet and shake hands. The maximum number of hand
shakes possible if there is to be no ‘cycle’ of handshakes
is( a cycle of handshake is a sequence of people a1,a2,
…..ak)such that people(a1,a2),(a2,a3)…..(a(k-1),ak),(a2,a1)
shake hand is

Answer Posted / linga

using this formula we can find the the maximum no of hand
shakes i.e n(n+1)/2
=19(20)/2
=190 times

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