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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?

Amazing Card Trick

Age 11 to 14
Challenge Level

Do you need to use any of the 26 cards that you turned up at the start of the trick?

Is this always the case?