There are to be 6 homes built on a new development site. They could
be semi-detached, detached or terraced houses. How many different
combinations of these can you find?
Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?
Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
We received many solutions to this problem, but Charles from Clear Water Bay School in Hong Kong, Alex from Longsands School and Maria from Wimbledon High Junior School took the trouble to explain how they worked it out. Charles says:
Green, red, blue
Green, blue, red
Blue, red, green
Blue, green, red
Red, blue, green
Red, green, blue