If you have three doors, they can be in three states - CCO, COC, and OCC. Four doors give six states and five give eleven. What's the pattern; how can one predict how many states e.g. twelve doors can have?
3 doors can have eight states and 4 can have sixteen, so for each extra door double the number of states, or it's
2 to the power of the number of doors
What I meant was: if you have three doors, and they are COC, you can present that information in three ways, COC, CCO, and OCC. If one continues adding doors so COCO, then COCOC etc. is there a way of predicting how many ways there are of presenting the information?