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We write b a instead of b a.
Sets subsets math. Any set contains itself as a subset. The set of living things is very big. Q x y z. If set a has n elements it has 2 n subsets.
If a b and a b then a is said to be a proper subset of b and it is denoted by a b. It has a lot of subsets. A subset is a set of elements that are also in another set. Set b is a proper subset of set a if there exists an element in a that does not belong to b.
Q has 3 elements number of subsets 2 3 8 number of proper subsets 7. Having said that b is a proper subset of a because f is in a but not in b. For example the set of red fruit and the set of yellow fruit are equal sets of fruit since all the red fruit is fruit and all the yellow fruit is also fruit. If set a has n elements it has 2 n 1 proper sets.
We write b a. It happens when all the elements of one set belong to the other. The number of subsets in set a is 2 n where n is the number of elements in set a. The number of subsets for a finite set a is given by the formula.
U a b c f since all elements of b belong to a b is a subset of a.
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