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?
This challenge is to design different step arrangements, which must
go along a distance of 6 on the steps and must end up at 6 high.
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?
Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair.
Now try it with four pairs of socks. Is there more than one way to do it?
Click here for a poster of this problem.