Question

If A = {1, 2, 3}, find number of elements in P (P (A))?

Answer 1

Answer:

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)}

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