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.