Thanks for the question! I’m not too sure what you mean by “different possibilities” but basically, they way we diagram is the following.??If we're told that Either A or B, that's just
A v B
or with conditional logic
~B —> A
Because we have to have at least one.
“Not both,” on the other hand, means that we have at most one. So that's
A —> ~B
Or in other words
~A v ~B
Hope this helps! Feel free to ask any other questions that you might have.