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MathNet 2011 Question 97

Math Olympiad Vault · MathNet 2011

Question 97

Spouses Ana and Tomislav attended a party with four other couples. Upon arrival there was a certain number of handshaking, but no one shook hands with his or her spouse nor with himself/herself. When later Tomislav asked everyone at the party how many people they shook hands with, he got nine different answers. How many people did Ana shake hands with? (www.masa.on.net)