list down all the subsets inthe powerset of the following sets. a. E={c,o,i,n} b.X={t,e,n} c. O={i,l,a,n,d,r}
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All The Subsets
power set of {a,b,c}
For the set {a,b,c}:
The empty set {} is a subset of {a,b,c}
And these are subsets: {a}, {b} and {c}
And these are also subsets: {a,b}, {a,c} and {b,c}
And {a,b,c} is a subset of {a,b,c}
And altogether we get the Power Set of {a,b,c}:
P(S) = { {}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c} }
Think of it as all the different ways we can select the items (the order of the items doesn't matter), including selecting none, or all.
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