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2014-12-24T15:26:05+08:00

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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  2^{n} where n is the number of elements in the set. Since, there are 4 elements: a, e, i, and o, it becomes like this:   2^{4} = 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.


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2014-12-31T08:27:51+08:00
{}, {a}, {e}, {i}, {o}, {u}, {ae}, {ai}, {ao}, {au}, {ei}, [eo}, {eu}, {io}, {iu}, {ou}, {aei}, {aeo}, {aeu}, {aio}, {aiu}, {aou}, {eio}, {eiu}, {eou}, {iou}, {aeio}, {aeiu}, {aeou}, {aiou}, {eiou}, {aeiou}.  there are 32 subsets for a e i o u ....
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