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Six couples meet at a party. Everyone shakes hands once with every other person except his or her own spouse. How many handshakes take place?

Competition practicePermutations & Combinations
  • A60
  • B66
  • C54
  • D30

Step-by-Step Solution

12 people give pairs. The 6 husband–wife pairs do not shake hands: .
Answer: A) 60

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