### Homes

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?

### Train Carriages

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?

### Let's Investigate Triangles

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'll Bang the Drum

##### Stage: 1 Challenge Level:

Here is a pile of drums that will each give a beat.
Start off by placing two drums on the wheel. As the wheel turns, the drums will sound.
How many different rhythms can you make with just two drums?

Now try with 3 drums. As the wheel turns so the drums will play.
What different rhythms can you make now?
Are you sure they are all different from each other?

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