subsets disjoint sets equivalent sets


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Sets
In mathematics , a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematics . Important terms in Sets are: Roster Me..
Equivalent Sets
Two finite sets A and B are said to be equivalent sets if cardinality of both sets are equal i.e. n (A) = n (B..
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..
Operations on Sets
The Operations on Sets are: Union of sets, Intersection of sets, Disjoint sets, Difference of two sets (Relative complement), Symmetric Difference of two sets, Complement of a set..
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 ..
Find the number of 3 element subsets that can be formed from the set {..
Find the number of 3 element subsets that can be formed from the set {a, b, c, d, e, f, g, h}. => 6 or 336 or 56 or 1..
Equivalence Relation
A relation which is reflexive, symmetric and transitive is called the Equivalence relation. i.e., A relation R in a set A is called equivalence if it satisfies the following conditions. ..
The number of subsets 'c' of a set containing n elements is given by ..
The number of subsets ' c ' of a set containing n elements is given by c = 2 n . Find the number of elements in the original set which has 2048 subsets. => 11 or 1024 or 2048 or 2 2 0 4 8..
Venn Diagrams [Euler-Venn Diagrams]
A Venn diagram is a pictorial representation of sets by set of points in the plane. The universal set U is represented pictorially by interior of a rectangle and the other sets are represented by closed figures viz circles or ellipses or small rectangles or s..
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