I have 5 sets with three elements each:
A can be either 2,1 or 0 B can be either 2,1 or 0 . . E can be either 2,1 or 0
You can only pick one element from one of the sets.
For instance, I know there is only one way of obtaining 10 and that is by picking the element 2 from the 5 sets.
But I want to know how many combinations there is for example to get 5? And what would be the probability for this? I would need to get the total number of possible combinations, but I don't know how to obtain this?
I thought of 15 choose 5. But that is way too many combinations as I can only pick one element from each set.