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First you must understand the term of disjoint sets. This is when both sets have no elements in common.
Ex: A={2,3,4} B={1,5,9}. Since A has no similar numbers in B and likewise, they are disjoint.
A is a partition of a finite or infinite collection of nonempty sets G= {A,B,C,D...},Iff:
1) A is in the union of all {A,B,C,D...}
2) The sets A,B,C,D...are all mutually disjoint (no overlapping of elements)
So in other words, A=/B=/C=/D=/... ---(=/ is 'does not equal')---
i.e. (A intersect B) = {} ---- ({} is an empty set)---
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