Q1: There are 324 people at a meeting. If everybody shakes hands with everybody else, how many handshakes have occurred? Explore how to answer this problem in two different ways: a) Show your answer by counting the number of handshakes that each person experiences, multiplying this number with the total number of people, and making an adjusting operation. Explain why you need to adjust the product. . Why should the product be written as 324x323 as opposed to 323x324? b) Show your answer by numbering the people off so that they become person 1, person 2, person 3, ..., person 324, and considering, one person at a time, how many handshakes each person has left to experience. Then, apply what you learned from the problem-solving slides about adding a sum in a clever way. . Why should the product be written as 323x324 as opposed to 324x323? converse only