### Card Trick 2

Can you explain how this card trick works?

### Painting Cubes

Imagine you have six different colours of paint. You paint a cube using a different colour for each of the six faces. How many different cubes can be painted using the same set of six colours?

### Cube Paths

Given a 2 by 2 by 2 skeletal cube with one route `down' the cube. How many routes are there from A to B?

# Musical Chairs

##### Stage: 3 Short Challenge Level:
See all short problems arranged by curriculum topic in the short problems collection

The highlight of Gill's fourth birthday party was a game of musical chairs. The game got down to herself, nurse and me. Only two chairs were left - the hard chair and the comfy chair, with a big gap between them. The music stopped and we all piled onto the nearest chair, some on top of one another. If Gill's bottom was firmly in contact with one of the two chairs, in how many different ways could this have happened?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.