👉 Non-exhaustively is a concept in mathematics, specifically in the field of combinatorics and graph theory. It refers to a situation where there are infinitely many possible outcomes (in this context, it means an infinite number of permutations) but no one of these outcomes can be used to exhaustively determine the other possibilities. In the context of a finite set or a set with a binary operation (like addition in mathematics), if each element in the set has exactly two distinct elements that satisfy the operation