For example, if you take the set A = {1, 2}, then the following sets are all subsets of it: {}, {1}, {2}, {1, 2}. That is, all the sets that fulfill the condition that all of its elements are also elements of the set "A".
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There are no subsets of irrational numbers. There are subsets of rational numbers, however.
Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".
Once example is the whole numbers and subsets are the numbers 1,2 and 3 written {1,2,3}. Another example is all the colors. Subsets would be any number of individual colors. The universal set may be finite or infinite.
5 subsets of 4 and of 1, 10 subsets of 3 and of 2 adds up to 30.
That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.