Handshakes at four couples

Four couples (88 people) meet. Everyone shakes hands with everyone else except their own partner. How many handshakes occur in total?

Show hints (2)+
  1. Start from all handshakes among 88 people: (82)=28\binom{8}{2}=28.
  2. Subtract the one skipped handshake per couple.

Answer

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24

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