Discussion
The power set of the set {φ} is
Answer: B
The power set of the set containing only the empty set is the set of all its subsets. The set {φ} has one element, so it has 2 to the power 1, that is 2, subsets: the empty set φ and the set {φ} itself. So the power set is {φ, {φ}}.
The option {φ} lists only one subset, so it is not the whole power set. {0} contains the number 0, which is not an element or subset here. {0, φ, {φ}} has the extra element 0, so it cannot be the power set, and the count of three members is also wrong, since a set with one element has only two subsets.
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