this might be a silly question but here goes:
I have this set of variables [T, T, T, T, O, V, M, M] where T and M are the same.
I have a few questions:
How do I calculate the total possible combinations for the set above? I ran 8! but 40k seems a little bit too large. Is this correct?
How do I calculate the total possible combinations in which O or V has an M appearing next to it if the set were scrambled?
How do I calculate the probability that either an O or V will have an M appear immediately after (to the right)?
So something such as the following would be off target:
[T, O, T, V, T, M, T, M]
or where the M appears before:
[M, V, M, O, T, T, T, T]
Intuitively, I feel that calculating the total possible calculations where an O has an M appear after it, and the total possible outcomes where a V has an M appearing next to it could be added together and then divided by the total, however I am not able to reach a value in which seems correct so I am asking the experts for help!
Thanks for the clarification! And if anyone knows any buzzwords which I can look up to help understand this concept I would also appreciate it!