Do you mean it like, for example, X is a set.
The set you are talking about for example is like this:
X = { a, e, i, o }
So to find the number of subsets, we use the formula [tex] 2^{n} [/tex] where n is the number of elements in the set. Since, there are 4 elements: a, e, i, and o, it becomes like this: [tex] 2^{4} [/tex] = 16 subsets, so lets name it all.
You can use any letter for the name of your set that is a subset of X.
Subsets of X:
1.) A = {a, e, i, o} or A = { e, a, i, o} or A = { i, a, e, o} and many others.
2.) F = { a, e, i } or F = { e, i, a} or F = { i, a, e }
3.) C = { a, e, o}
4.) G = { a, i, o }
5.) K = { o, i, e }
6.) P = { a }
7.) U = { e }
8.) L = { i }
9.) H = { o }
10.) M = { a, e}
11.) N = { a, o }
12.) Z = { a, i }
13.) V = { e, i }
14.) D = { e, o }
15.) Y = { o, i }
16.) S = { }
Trivia:
If you place all subsets of a set, they are now called the power sets.
