Question

if A=(1,2,3) then write P(A).

Answer 1

A = {1 , 2, 3}
So, the number of elements in set A , n(A) = 3
We know, P(A) = $\bold{2^{n(A)}}$
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}}

Answer 2

Given,

A=(1,2,3)

Hence, n(A) = 3, here n refers the number and n(A) means the numbers of set A. There is a formula of P(A) that is 2^n(A). P refers the power set. And the power set of any set A is the set of all subsets of A. P(A)= 2³ => 8 that means the total number of elements. So the total number of elements are
P(A)= {∅,(1),(2),(3),(1,2),(1,3)(2,3),(1,2,3)}