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MathNet 2017-part-02 — 176 problems (EN–VI) Question 31

Math Olympiad Vault · MathNet 2017-part-02 — 176 problems (EN–VI)

Question 31

There are seven people in a room. Four of them each know exactly one other person, while the other three each know exactly two people. All acquaintances are mutual. What is the probability that two randomly chosen people do not know each other? (Graduate Management Admission Test)