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If the set has n elements then it has 2n subsets.
Let's say the set S has n elements. An element can be either in the subset or not in the subset. So There are two ways for one element. Therefore the number of subsets of a set of n elements is 2 multiplied n times which is 2^n
In abstract algebra, a generating set of a group is a subset of that group. In that subset, every element of the group can be expressed as the combination (under the group operation) of finitely many elements of the subset and their inverses.
If a set has "n" elements, then it will have 2n subsets. This number of subsets is always larger than the number of elements - whether the set is finite or infinite.
It is not possible to answer the question without information about the set B.All that can be said is that if set B has n elements, that is, if the cardinality if B is n, then there are 2n possible subsets of B.