Doubt

Question

Power set of empty set has exactly how many number of subset?

Comments

A={phi} empty set

Power set of A = {phi,{phi}}

Thus it has 2 elements

---

https://math.stackexchange.com/questions/193498/cardinality-of-power-set-of-empty-set.

you may refer this.

---

A = {Φ} is not empty set. It is a set with element Φ.

So your answer is incorrect.

It should be:

A = Φ or A = {}

P = {Φ} or P = {{}}.

Number of subsets will be 2^0 = 1

Answer 1

Empty set has $0$ element .

$S={ \Phi }$

Number of element of power set of $S=2^{0}=1$

Answer 2

There are total 3 Subset of empty set... = phi, {phi}, {phi,{phi}}