Question

If A = {(a, b) c}, find the power set P(A).

Answer 1

Answer:

All The Subsets

power set of {a,b,c}

For the set {a,b,c}:

The empty set {} is a subset of {a,b,c}

And these are subsets: {a}, {b} and {c}

And these are also subsets: {a,b}, {a,c} and {b,c}

And {a,b,c} is a subset of {a,b,c}

And altogether we get the Power Set of {a,b,c}:

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

Think of it as all the different ways we can select the items (the order of the items doesn't matter), including selecting none, or all.

Answer 2

Step-by-step explanation:

A={3,{4,5}}

The subsets of A are

∅,{3},{{4,5}},{3,{4,5}}

∴P(A)={∅,{3},{{4,5}},{3,{4,5}}}