Power set

Last updated at April 16, 2024 by

Let us take the set A = {1, 2}

Let us find all the subsets of A

 

We know from property of subsets that

  • Empty set is the subset of all sets
  • Every set is a subset of itself

 

So, subsets of A will be

∅,

{1}, {2},

{1, 2}

 

Power set is the set of all subsets.

So, we write power set of A as

P(A) = {∅, {1}, {2}, {1, 2}}

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo