Collectively exhaustive意思

"Collectively exhaustive" is a term used in the context of set theory or logic, where it means that a collection of sets or categories covers everything without any overlap. In other words, when you combine all the sets or categories, they include everything, and there is no element or item that is included in more than one set or category.

For example, if you have three sets A, B, and C, and you know that A ∪ B ∪ C contains all the elements without any element being in more than one of the sets, then the collection of sets is collectively exhaustive.

In a more general sense, "collectively exhaustive" can also mean that a group of things or options covers all possibilities, without any duplication or repetition.