P = {{}, {b}, {c}, {f}, {b,c}, {b,f}, {c,f}, {b,c,f}}

Partition 1

{c,f},{b}

Partition 2

{b,f},

Partition 3

{b,c},

Partition 4

{{b},{c},{f})

What is the Answer?

P = {{}, {b}, {c}, {f}, {b,c}, {b,f}, {c,f}, {b,c,f}}

How does the Power Sets and Set Partitions Calculator work?

Free Power Sets and Set Partitions Calculator - Given a set S, this calculator will determine the power set for S and all the partitions of a set. This calculator has 1 input.

What 1 formula is used for the Power Sets and Set Partitions Calculator?

The power set P is the set of all subsets of S including S and the empty set ∅.

What 7 concepts are covered in the Power Sets and Set Partitions Calculator?

element

an element (or member) of a set is any one of the distinct objects that belong to that set. In chemistry, any substance that cannot be decomposed into simpler substances by ordinary chemical processes.

empty set

The set with no elements ∅

notation

An expression made up of symbols for representing operations, unspecified numbers, relations and any other mathematical objects

partition

a grouping of its elements into non-empty subsets, in such a way that every element is included in exactly one subset.

power sets and set partitions

set

a collection of different things; a set contains elements or members, which can be mathematical objects of any kind

subset

A is a subset of B if all elements of the set A are elements of the set B

Example calculations for the Power Sets and Set Partitions Calculator