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21 people meet and shake hands. The maximum number of handshakes possible if there is no cycle of handshakes is
(A cycle of handshakes is a sequence of people a1, a2,.... ,ak such that the pairs (a1, a2), (a2, a3), (a(k-1), ak), (ak, a1) shake hands.
a) 17 b) 18 c) 19 d) 20

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