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

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Answer 1 · 2017-05-28T20:41:02

List every subset of your given set.

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.