Question

IfA={f,{f}}. Then the power set of A is:

Answer 1

Answer:

The power set of A,

P(A) = { {f} , {{f}} , { f , {f} } , Ф }

Step-by-step explanation:

If a set A has n number of elements,

Then its power set contains 2ⁿ number of elements.

Power set of any set S is the set of all subsets of S, including the empty set and S itself, variously denoted as P(S), (S), ℘(S), P(S), ℙ(S), or, identifying the power set of S with the set of all functions from S to a given set of two elements, 2S.

Given,

A = { f , {f} }

Power set of A,

P(A) = { {f} , {{f}} , { f , {f} } , Ф } = 4 elements = 2²