Question

If A=  a, b, c } (2)

(a) Then write the power set of P(A).

(b) Find the number of elements of the power set of P.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

If A= {1,2,3}, Let B be the power set of A. How many element are there in power set of B?

There’s a result in mathematics used for this. It says that a power set B of any set A is a set of all the subsets of A and the number of elements of B will be 2^n where n is the number of elements of A.

So taking your question as an example;

A = {1,2,3}

B : set of all subsets of A

List out all the subsets of A - {1},{2},{3},{1,2},{2,3},{1,3},{1,2,3},{empty set}

Number of elements in A (n) = 3 so 2^3 = 8

So, B = {{1},{2},{3},{1,2},{2,3},{1,3},{1,2,3},{empty set}} and the number of elements are 8.