### Homes

Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?

### Stairs

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.

### 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?

# Briefcase Lock

##### Age 5 to 7Challenge Level

Josh from Befordshire says:

There are six combinations possible. Because there are three different numbers, you multiply $3$ by $2$ and then by $1$, which makes $6$.

Joshua says:

I think the answer is six combinations and how I did it was I wrote down all the correct combinations:

358

385

538

583

835

853

Jianmin (Henry Park Primary, Singapore) agrees with six combinations, using $3$ x $2$ x $1$.