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# In activity we saw that when there are players there will be matches and when there are

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layers, there will be 10 matches. Note also that when there are two players, there will be only 1 match and when there are 3 players, there will be 3 matches. This same principle may be applied to a room full of people shaking hands with one another. If there are 2 people, there will be 1 handshake, 3 people, 3 handshakes, and so on. If I were to tell you that if there are 6 people, there will be 15 handshakes, set up a sequence with the number of handshakes for 2, 3, 4, 5, and 6 people in the room. (2 marks) Examine the sequence above and determine how many handshakes will take place if there are 7, 8,or 9 people in the room and each person shakes hands with every other person. (3 marks)
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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