Age 11 to 14 Short Challenge Level:
In a club there are four committees.
Every member of the club is a member of exactly two committees.
Each pair of committees has exactly one member in common.
How many members are there in the club?
This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.