Number of subsets of a set = 2 n

where n is the number of elements of the set

 

For set A = {1, 2}

The subsets are ∅, {1}, {2}, {1, 2}

So, Number of subsets = 2 2 = 4

 

Similarly,

For B = {1, 2, 3}

Subsets will be

∅,

{1}, {2}, {3},

{1, 2}, {2, 3}, {1, 3},

{1, 2, 3}

So, Number of subsets = 2 3 = 8

 


Number of elements of power set

Now,

We know that power set is the set of all subsets.

∴ Number of elements of power set = Number of subsets of set 

Number of elements of power set = 2 n

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Davneet Singh

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