Question

If A = {[1, 2, 3}, write down set of all possible subsets of A i.e. the power set of A.

Answer 1

Answer: please find the attached file.

Step-by-step explanation:

Answer 2

Answer:

Power set of A = [∅, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}]

Step-by-step explanation:

In the given question,

If,

A = {1, 2, 3}.

So,

All the possible sets of the main set is given by the Power set (P).

Possible sets of A = [∅, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}]

Therefore, there are all possible 8 such sets of A which we can call as Power Set, P.

∅ is the null set.

Also,

The number of sets in the power set is given by,

2ⁿ where n is the number of terms in the main set.

So, here the number of sets in the power set is 2³ = 8.

Total number of sets = 8.