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12 members were present at a board meeting each member shook hands with all of the other members before and after the meeting how many hand shakes were there?
Wiki User
∙ 14y ago
66.
Each of the 12 members shook hands with the 11 other people. That would make 12*11 hand shakes. BUT, the A shaking B's hand is the same event as B shaking A's hand so all these handshakes are double-counted. The actual number is half that ie 33.
If you are more familiar with combinatorial mathematics, the answer is the number of combinations of two obejects from 12, which is 12C2 = 12*11/(2*1)
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∙ 14y ago
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