How do I find the power function through a given set of points?

1 Answer

List every subset of your given set.

Explanation:

You meant: power set. ok?

A = {x, y, z}

P(A) 's elements are B subset A.
These B 's must have 0, 1, 2 or 3 elements.

B_0 -> emptyset

B_1 -> {x}, {y}, {z}

B_2 -> {x, y}, {x, z}, {y, z}

B_3 -> A

Therefore P(A) = {emptyset, {x}, {y}, {z}, {x, y}, {x, z}, {y, z}, {x, y, z}}

A has 3 elements. => P(A) has 2^3 elements.