The cardinality of the set A = {1, 2, 3, 0, 6, 7, 8, 9)
Answers
Answer..
|A| = 4
|A| = 4where |A| represents cardinality of set A.
|A| = 4where |A| represents cardinality of set A.now how one will find its power set. Thats too is pretty simple. As already said power set is set of all subsets of a given set (quite complex ). So one has to basically determine all the subsets of set A.
now power set say
now power set sayP = {{}, {0}, {1}, {2}, {3}, {0,1}, {0,2}, {0,3} , {1,2}, {1,3}, {2,3}, {0,1,2}, {0,1,3},{1,2,3}, {0,2,3}, {0,1,2,}
}which clearly has 16 elements.
}which clearly has 16 elements.So cardinality of power set of A = 16.
}which clearly has 16 elements.So cardinality of power set of A = 16.Obviously, this is tedious and cumbersome method to answer this problem.
}which clearly has 16 elements.So cardinality of power set of A = 16.Obviously, this is tedious and cumbersome method to answer this problem.Well there a simple formula by which u can directly know the number of elements in power set of a given set.
}which clearly has 16 elements.So cardinality of power set of A = 16.Obviously, this is tedious and cumbersome method to answer this problem.Well there a simple formula by which u can directly know the number of elements in power set of a given set.| P | = 2^N, where N is number of elements or items in some set A.
}which clearly has 16 elements.So cardinality of power set of A = 16.Obviously, this is tedious and cumbersome method to answer this problem.Well there a simple formula by which u can directly know the number of elements in power set of a given set.| P | = 2^N, where N is number of elements or items in some set A.This formula can be derived by applying simple combinatorics.
}which clearly has 16 elements.So cardinality of power set of A = 16.Obviously, this is tedious and cumbersome method to answer this problem.Well there a simple formula by which u can directly know the number of elements in power set of a given set.| P | = 2^N, where N is number of elements or items in some set A.This formula can be derived by applying simple combinatorics.So the ans to ur question is 2^11 as number of elements in set A is 11 :)