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Cardinal Properties of Sets (advance math)

Cardinal Properties of Sets   Cardinal Properties of Sets: We have already learnt about the union, intersection and difference of sets. Now, we will go through some practical problems on sets related to everyday life.   If A and B are finite sets, then • n(A ∪ B) = n(A) + n(B) – n(A ∩ B)…
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Cardinal Number of a Set (advance math)

Cardinal Number of a Set   What is the cardinal number of a set? The number of distinct elements in a finite set is called its cardinal number. It is denoted as n(A) and read as ‘the number of elements of the set’. For example: (i) Set A = {2, 4, 5, 9, 15} has…
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Problems on Operation on Sets (advance math)

Problems on Operation on Sets Solved problems on operation on sets are given below to get a fair idea how to find the union and intersection of two or more sets.   We know, the union of sets is a set which contains all the elements in those sets and intersection of sets is a set which…
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Problems on Complement of a Set (advance math)

Problems on Complement of a Set   Solved problems on complement of a set are given below to get a fair idea how to find the complement of two or more sets. We know, when U be the universal set and A is a subset of U. Then the complement of A is the set…
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Difference of Two Sets (advance math)

Difference of Two Sets   How to find the difference of two sets? If A and B are two sets, then their difference is given by A – B or B – A.  • If A = {2, 3, 4} and B = {4, 5, 6}  A – B means elements of A which are not…
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Problems on Intersection of Sets (advance math)

Problems on Intersection of Sets   Solved problems on intersection of sets are given below to get a fair idea how to find the intersection of two or more sets. We know, the intersection of two or more sets is a set which contains all the elements that are common in those sets.   Solved problems on…
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Intersection of Sets (advance math)

Intersection of Sets   Definition of Intersection of Sets: Intersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both…
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Union of Sets (advance math)

Union of Sets   Definition of Union of Sets: Union of two given sets is the smallest set which contains all the elements of both the sets. To find the union of two given sets A and B is a set which consists of all the elements of A and all the elements of B…
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Operations on Sets (advance math)

Operations on Sets   Definition of operations on sets: When two or more sets combine together to form one set under the given conditions, then operations on sets are carried out. What are the four basic operations on sets? Solution: The four basic operations are: 1. Union of Sets 2. Intersection of sets 3. Complement of the Set…
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Power Set (advance math)

Power Set   Definition of power set: We have defined a set as a collection of its elements so, if S is a set then the collection or family of all subsets of S is called the power set of S and it is denoted by P(S). Thus, if S = a, b then the…
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