If { } is defined as the empty set, then by definition P({ }) must be:
A) greater than 0.
B) equal to 0.
C) less than 0.
D) between 0 and 1, exclusive.

Question

Quizplus · Accepted Answer

The power set of the empty set is a set of all subsets of the empty set. Since there are no elements in the empty set, there are no subsets of it, so P({ }) = { { } }, which is a set containing only the empty set. Therefore, P({ }) is equal to 1, not 0.

If { } Is Defined as the Empty Set, Then