All styles and types of Combs to check for mats, get undercoat out or fluff the hair for scissoring.
General rule is the finer the tines(teeth) is to get seperation on thin hair or very clean blowdried coat. It will be hard to get through very thick dirty matted hair.
Thicker the coat, the wider the spacing between teeth
To fluff you use wider spacing so as to not drag coat out of natural position,rather to pick it up to let it lay natural.
To demat & deshed you will use a thicker tine(medium to fine spacing) otherwise they will bend
to check your work(check if you got all the tangles brushed out, or undercoat finish with a finer tooth(yento)