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2017 AMC 10A Problem 8

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2017 AMC 10A Problem 8AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Counting · difficulty 2 of 5 · about 2 min · position P1-10

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?

  1. A)

    240240

  2. B)

    245245

  3. C)

    290290

  4. D)

    480480

  5. E)

    490490

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