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?
The Red Express Train usually has five red carriages, but so
many people wanted to catch it one weekend the station manager had
to add two blue carriages.
At first she thought to put them both on the end, then at the
front, then one on each end - but wasn't happy with any of those.
So she thought about other ways to put the blue carriages into the
train. How many ways can you find?