You may also like

problem icon

Dopey Measurement

How does Snow White need to change her result after the mix-up?

Committees

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.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
Copyright © 1997 - 2018. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.