Power Set
The family of all subsets of any set S is called the power set of S. We denote the power set of S by P (S). If a set S is finite, say S has n elements, then the power set of S can be shown to have 2 n elemen..
The family of all subsets of any set S is called the power set of S. We denote the power set of S by P (S). If a set S is finite, say S has n elements, then the power set of S can be shown to have 2 n elemen..Sets Summary
Summary - A well-defined collection of definite objects is called a set. In roster method of representing a set, all the elements are listed in the set. In property method of representing a set, all the elements are represented by stating all the properties which are s..
Complement of a set
Let U be a universal set, A be any subset of U, then the elements of U which are not in A i.e., U - A is the complement of A w.r.t. U is written as A' = U - A = A c ..
Let U be a universal set, A be any subset of U, then the elements of U which are not in A i.e., U - A is the complement of A w.r.t. U is written as A' = U - A = A c ..Application of sets
Example: - In a class of 80 boys, there are 60 boys who play rugby and 35 play tennis. Use Venn diagrams to show how many boys play both the games? How many play rugby only and how many play tennis onl..
Match data in Set A with corresponding data in Set B:
Match data in Set A with corresponding data in Set B: => I : b, II : g, III : d, IV : i or I : c, II : g, III : h, IV : e or I : f, II : a, III : d, IV : i or I : f, II : j, III : a, IV : b..
Identify the set that has fewer leaves.
Identify the set that has fewer leaves. => Set B or Set C or Set A or Set C & Set A..
Choose = or ≠ between the set.
Choose = or ≠ between the set. => = or ≠..
Choose = or ≠ between the set.
Choose = or ≠ between the set. => = or ≠..
Choose = or ≠ between the set.
Choose = or ≠ between the set. => = or ≠..
Choose = or ≠ between the set.
Choose = or ≠ between the set. => = or ≠..
Result
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