Power Set Maker

Here's a tool to create Power Sets.

The result is a list of subsets that show how many ways the members of a set can be combined with no concern for the order of the members ... so {a,b,c} is the same as {b,a,c}

images/power-set.js

Try This!

Use the Power Set Maker to find the pattern:

Clear the "Your Set" box, and press Go. What do you get? (Just the empty set {})
Enter a (1 member). How many subsets? (There are 2: {}, {a})
Enter a, b (2 members). How many subsets? (There are 4)
Enter a, b, c (3 members). How many subsets? (There are 8)

Every time you add a member, the number of subsets doubles.

The empty set {} (sometimes written as ∅) has no elements, but it is still a subset of every set (we can choose "none").