Question

What is a power set????????????????? ppllllllllllllzzzzzzzzzz explain

Answer 1

A Power Set is a set of all the subsets of a set.

OK? Got that? Maybe an example will help...

ALL THE SUBSETS

For the set = {a,b,c}

These are subsets: {a}, {b} and {c}.
And these are subsets: {a,b}, {a,c} and {b,c}
And {a,b,c} is also a subset of {a,b,c}
And the empty set {} is a subset of {a,b,c}

And when we list all the subsets of S={a,b,c} we get the Power Set of {a,b,c}:

P(S) = { {}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c} }

Answer 2

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}