Is there a word that means "Mutually exclusive and collectively exhaustive" (as an adjective) or "to be mutually exclusive and collectively exhaustive" (as a verb), or is there a noun that describes some set as "mutually exclusive and collectively exhaustive?"
For example,
In a good multiple-choice survey item, the answer choices should [be] ____.
The term "shattering" (e.g. the answer choices "shatter" the space of possible answers) was introduced to me as having this meaning, but I don't think that introduction to the term was quite right in accurately conveying the meaning - I now understand that it's a family of functions which can be said to "shatter" a set of points if some function within that family can exactly separate any subset of the points from the rest.
