Question

can you give a example for power set and sub set​

Answer 1

For example, the power set of a setwith three elements, has: C(3, 0) = 1subset with 0 elements (the emptysubset), C(3, 1) = 3 subsets with 1 element (the singleton subsets), ... C(3, 3) = 1 subset with 3 elements (the original set itself).

Answer 2

Let A = {2, 4, 6} 

B = {6, 4, 8, 2} 

Here A is a subset of B

Since, all the elements of set A are contained in set B. 

But B is not the subset of A 

Since, all the elements of set B are not contained in set A. 

Notes:

If ACB and BCA, then A = B, i.e., they are equal sets. 

Every set is a subset of itself. 

Null set or ∅ is a subset of every set.