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There were ten people at the party. This is a triangular sequence starting with two people: 1, 3, 6, 10, 15, 21, 28, 36, 45, etc.

There's an equation for this. With n people at the party, the number of handshakes is n(n-1)/2.

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Q: At certain party there wereb 45 handshakes Everyone shook hands with everyone else exactly once how many people attended the party?
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