Mutually Exclusive and Collectively Exhaustive

To the DeepSeek chatbot:

I am seeking a more concise way to indicate "mutually exclusive and exhaustive". Does such exist?

Yes, there is a very concise and widely recognized term for this: "ME/CE" (or "MECE").

You will most commonly see MECE (pronounced "mee-see"), which stands for Mutually Exclusive and Collectively Exhaustive. It was popularized by McKinsey & Company and is standard in consulting, logic, and structured problem-solving.

If you want something even shorter than an acronym, you can use one of these single words, depending on context:

Partition (in mathematics/set theory) – A partition of a set is by definition mutually exclusive and exhaustive.
Dichotomy – If you are splitting something into exactly two ME/CE groups.
Taxonomy – If you are creating a complete, non-overlapping classification system.

In mathematical notation, you can write:

$A_{i}$ form a partition of $S$ – this implies both conditions.
Or explicitly: $⋃ A_{i} = S$ and $A_{i} \cap A_{j} = \emptyset$ for $i \neq j$ .

In everyday business writing, the cleanest shorthand is simply:

"We need a MECE breakdown."

That one word (MECE) conveys the full meaning to anyone familiar with the term. If your audience isn't consulting-savvy, just say "partition" — it's precise, shorter, and mathematically correct.