Fifteen knights were invited to a meal at the castle in Belmar. Before sitting down, each of the fifteen knights shook hands with each of the other knights. How many handshakes occurred?
The first knight shakes hands with 14 other knights, the second knight having already shaken hands with the first, shakes 13 hands and so on. 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105
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