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Here are the steps to solve this problem: 1) There are 6 males and 8 females, so there are 6C1 + 8C1 = 14 ways to choose the first person. 2) There are 5 people left, so there are 5C1 ways to choose the second person. 3) There are 4 people left, so there are 4C1 ways to choose the third person. 4) By the multiplication principle, there are 14 * 5 * 4 = 140 total handshakes. Therefore, the total number of handshakes that take place is 140.

Author
Eric de Guzman
Language
EN

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