12 members were present at a board meeting. Each member shook hands will all of the other memebers before and after the meeting. How many hand shakes were there?

132 Explanation: 1. Calculate Handshakes for a Single Round: When people shake hands with each other exactly once, the number of handshakes is determined by the combination formula , which represents selecting 2 people out of to perform one handshake. The formula is: 2. Substitute the Given Value: Here, the number of members . 3. Account for Before and After: The problem states that handshakes occurred both before and after the meeting. Therefore, the total number of handshakes is twice the number of a single round. Final Answer: The total number of handshakes is 132 . Correct Option: (c)

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