If seven people meet each other and each shakes hands only once with each of the others

Math Riddle: If seven people meet each other and each shakes hands only once with each of the others, how many handshakes will there have been?

Answer:  Twenty-one. A great many people would think there were 42 handshakes.

The primary individual respectfully acknowledges 6 others, the subsequent individual respectfully acknowledges 5 outstanding individuals, the third individual respectfully acknowledges 4 residual individuals, the fourth individual respectfully acknowledges 3 residual individuals, the fifth individual respectfully acknowledges 2 outstanding individuals and the 6th individual respectfully acknowledges 1 residual individual.

6+5+4+3+2+1=21

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