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Every member of the club is a member of two committees. How many members are there in the club?

Dance Party

Age 11 to 14 Short Challenge Level:

At a party, each man danced with exactly three women, and each woman danced with exactly two men. If 12 men attended the party, how many women attended?

This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.