Gemma stacks 4 blocks, each a different colour, on top of one another to create a tower. How many different towers can she make if she puts all four blocks in a different order each time?
Is there an easier way to do this?
the answer to this is 4! or 24 different ways.
This can be represented by blocks represented by a,b,c,d
A B C D, A B D C, A C B D, A C D B, A D B C, A D C B, B A C D, B A D C, B C A D, B C D A, B D A C, B D C A, C A B D, C A D B, C B A D, C B D A, C D A B, C D B A, D A B C, D A C B, D B A C, D B C A, D C A B, D C B A.... 24 COMBINATIONS
Have a look at factorials on the net and this will hopefully give you some ideas on how to attack problems of this nature, without having to produce a big sample space to work out the answer.