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PLEASE WRITE CLEARLY AND SHOW ALL WORK. THANKS Problem 5 [20 pts]: n people attend a...

PLEASE WRITE CLEARLY AND SHOW ALL WORK. THANKS

Problem 5 [20 pts]: n people attend a party and each shakes hands with every other person. Prove, by the method of mathematical induction that the total number of handshakes is n(n−1) 2 .

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