how to calculate a subset
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Number of Subsets of a given Set:If a set contains 'n' elements, then the number of subsets of the set is 22.If a set contains 'n' elements, then the number of proper subsets of the set is 2n - 1.⇒ Number of proper subsets of A are 3 = 22 - 1 = 4 - 1.
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Subset is said to be a set which contains or has the collection of all the elements which are in the other set.
For Example :
We have set A = {1, 2, 3, 4, 5}.
And let us suppose We have another set B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Now, able to observe that in set B we have all the elements that are in set A.
Hence, set A is a subset of set B.
That is, A ⊂ B.
One interesting situation is possible in a subset too.
Let us consider two sets namely, A = {1, 2, 3, 4} and B = {1, 2, 3, 4}.
Now, We can say that A is a subset of B and also B is a subset of A.
Hence, A ⊂ B and B ⊂ A because A = B in this particular example.
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