Question

A={1,2,3}
Then, Find P(A)


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Answer 1

Answer:

A={1,2,3}A={1,2,3}, then

P(A)={∅,{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}}.P(A)={∅,{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}}.

If there are nn elements in a set AA, then there are 2n2n elements in P(A)P(A). P(A)P(A) means the power set of AA, which contains all subsets of the set AA. For any set AA, the empty set ∅,∅, and the set AA itself are always subsets.

Answer 2

A = {1 , 2, 3}

So, the number of elements in set A , n(A) = 3

We know, P(A) =

So, P(A) = 2³ = 2 × 2 × 2 = 8

Hence, total number of elements in P(A) = 8

Those are {φ, {1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}}