Q1
What is the basic of set theory?
Set theory defines the collection of objects, where the order of objects does not matter. It relates with the collection of group of members or elements in mathematics or in real world.
Q2
What are the types of sets?
The different types of sets are finite and infinite sets, subset, power set, empty set or null set, equal and equivalent sets, proper and improper subsets, etc.
Q3
What is the formula of set?
If we have two sets, P and Q, then,
n(P U Q) = n(P) + (n(Q) – n (P ⋂ Q), where n denotes the number of elements.
For three sets, P, Q and R, the formula is given by;
n(PUQUR)=n(P)+n(Q)+n(R)–n(P⋂Q)–n(Q⋂R)–n(R⋂P)+n(P⋂Q⋂R)
Q4
How many elements does a singleton set have? Give an example.
A singleton set has only one element. Example are {1}, {a}, {x:x is an integer that has only one factor}, etc.
Q5
How can we represent the sets?
Sets can be represented in two different ways: Roster form and Set-builder form