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Medium Level Question 21 – answer, explanation & discussion

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Question 21 Back to Exercise

At a party every guest shook hands once with every other guest, and there were 66 handshakes. How many guests were there?

  • A 11
  • B 33
  • C 12 Correct
  • D 13
Correct Answer: Option C

nC2 = 66 → n(n − 1) = 132 = 12 × 11

n = 12

Answer: 12

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