0. How many handshakes are performed if all 100 senators shake each of the other senator's hand? Is there a formula to calculate the number of handshakes if there are x people in a room? Explore: Begin by looking at smaller values and seeking a pattern. The table is started for you. If there is only one person in the room, there are no handshakes. If there are two people, there is one handshake. If there are 4 people in a room, there are six handshakes.

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