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?
Genia from Deer Park School thought hard about
Well done, Genia. Perhaps
you have described your ways slightly differently to Genia but you
should find if you are looking for DIFFERENT possibilities, then
there are only three. Matt from Lincoln looked at having three
drums on the wheel. He says:
You've described a very
good way of approaching the problem, Matt. It's good to have some
sort of system for finding all the ways so that you can check
whether you've got them all. Matt thinks there are 15 different
ways, but unfortunately you didn't say what they are, Matt. Perhaps
you coud list them for us? Does anyone agree or disagree?