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IMAS 2012–2013 — Junior Division — Round 2 Question 11

IMAS · IMAS 2012–2013 — Junior Division — Round 2

Question 11

In a party each of the participant handshakes with four women and six men. Given that the known number of handshakes between opposite-sex participants is seven times less than the number of handshakes between same-sex participants, how many men are there in the party?