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There are 3 types : Finite set, Infinite set, Null set.

1) Finite sets are sets with fixed number of elements, in other words, the members of this set may be counted.

2) Infinite sets  are sets with infinite elements, their members may not be counted because they never end.

3) Null set is a set with no elements. It is also known as the empty set.
I think,
 Finete set, infinete sets, joint set, disjoint set, null set, subset equal sets, equivalent sets, universal set, unit set/singleton set