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AMC 12 2017a Problem 5

  • Paper

At a gathering of 3030 people, there are 2020 people who all know each other and 1010 people who know no one. People who know each other hug, and people who do not know each other shake hands. How many handshakes occur?

\textbf{(A)}\ 240 \textbf{(B)}\ 245 \textbf{(C)}\ 290 \textbf{(D)}\ 480 \textbf{(E)}\ 490

Dataset text AMC 12 2000 to 2025. Quoted with source.

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B

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