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Index
»
Set Theory
»
Chapter 1
»
Level 1
level: Level 1
Questions and Answers List
level questions: Level 1
Question
Answer
A well defined collection of objects
Set
the number of distinct element in aset which is denoted by n(V) or |V|.
Cardinality of a Set
A set which contains only one element is known as
Singleton sets
The sets in which number of elements are limited and can be counted, such sets are called
Finite sets
The sets in which number of elements are unlimited and can not be counted, such sets are called
Infinite sets
A set which has no element in it and is denoted by φ
Empty set
If two sets have no element in common.
Disjoint Sets
If every element of set A is also an element of set B. It is denoted by A ⊆ B
Subset
The set of all subsets of a set A denoted by P(A) is called
Power Set
A set that contains all sets under consideration as a subset denoted by ξ or U is called
Universal Set
Cartesian Product of Sets
A x B = {(a,b) / a ɛ A and b ɛ B}