How Do You Enumerate All Subsets of a Given Set?

[Craß]

Homework Statement

List all the subsets of set B.
B = {4,8,12}

Homework Equations

A={5,10,15,20} C={4,8,12,16} D={2,4,6,8,10} E={4,12}

The Attempt at a Solution

I know that the equation for finding the number of subsets is 2ⁿ, but I don't exactly understand how I'm supposed to list them.

 

[Mark44]

Homework Statement

List all the subsets of set B.
B = {4,8,12}

Homework Equations

A={5,10,15,20} C={4,8,12,16} D={2,4,6,8,10} E={4,12}

How are these relevant to your problem?

The Attempt at a Solution

I know that the equation for finding the number of subsets is 2ⁿ, but I don't exactly understand how I'm supposed to list them.

First off, 2ⁿ is not an equation. To use this expression you need to know what n is in your problem, which is the number of elements in the set.

 

[Craß]

Could you please at least answer my question instead of pointing out the flaws in my post? I think that it's pretty straight forward even though I don't know what the hell I'm talking about. But hey, that's why I'm asking for help.

 

[Mark44]

What is n in your problem? When you answer that, you'll have a start on figuring things out.

 

[Mark44]

In general, a set with n elements has the following subsets:
The empty set.
The one-element subsets.
The two-element subsets.
...
The subset with n elements (the set itself).