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MathNet 2022-part-03 — 197 problems (EN–VI) Question 168

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 168

There are $25$ guests at a party, one of which is Medan. Among the other guests, there are $12$ that each shook hands with exactly $18$ people. The other $12$ each shook hands with exactly $6$ people.
With how many guests did Medan shake hands?
A) $0$
B) $6$
C) $12$
D) $18$
E) $24$