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At a meeting every person shook hands exactly once with every other person present, and 66 handshakes took place in all. Using combinations, find how many people attended the meeting.

Competition practiceProbability & Permutation
  • A11
  • B33
  • C66
  • D12

Step-by-Step Solution

A handshake is a selection of 2 people from , so C,2) = 66, i.e. and . Since .
Answer: D) 12

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