IPA: /kəmˌbɪnəˈtɔrɪks/
KK: /kəmˌbɪnəˈtɔrɪks/
The branch of mathematics that deals with counting, arrangement, and combination of objects.
In combinatorics, we study how many different ways we can arrange a set of items.
Combinatorics is formed from "com-" (meaning together) and "binare" (from Latin, meaning to pair or to double). The word refers to the branch of mathematics dealing with combinations of objects in specific sets under certain constraints.
Think of 'together' ('com-') and 'pairing' ('binare') to remember that combinatorics is all about the ways to combine or arrange things.
No commonly confused words.