Question

Please define me the power of set.

Answer 1

The power set is the set of all subsets of a given set.

For the set S = {1,2,3} this means:

• subsets with 0 elements: 0 (the empty set)
• subsets with 1 element: {1}, {2}, {3}
• subsets with 2 elements: {1,2}, {1,3}, {2,3}
• subsets with 3 elements: {1,2,3}

Thus power set will be -

P(S) = {0, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3} }