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At a party I gave, attended only by couples, some persons shook hands. Upon inquiry, I found at the end of the evening that everyone else had shaken...

At a party I gave, attended only by couples, some persons shook hands.  Upon inquiry, I found at the end of the evening that everyone else had shaken a different number of hands. How many hands did my spouse shake?
Please be detailed in your response.  I need to understand the thought processes involved in this problem.

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