Stage: 3 Challenge Level: 
Eight children enter the autumn cross-country race at
school.
How many possible ways could they come in at first, second and
third places?
![[copyright Microsoft]](/content/00/11/penta1/fig1.gif)
Networks/Graph Theory. Visualising. Combinations. Combinatorics. Number - generally. Mathematical reasoning & proof. Creating expressions/formulae. Number theory. Pythagoras' theorem. Generalising.
Published November 2000.
Copyright © 2007. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project, which also includes the Plus and Motivate sites.
email: nrich@damtp.cam.ac.uk
