types of sets

In this page you are going to learn about the different types of sets.

1. finite set

   • it there are exactly 'n' elements in S where n is non negative integer, we say that S is finite set
   • Example $A = \{1, 2, 3, 4\}$

2. Infinite Set

   • a set contains infinite number of elements is called infinite set.
   • Example $A = \{-\infty.., -2, -1, 0, 1, 2,.. \infty \}$

3. Universal Set

   • if all sets are under investigation are subsets of a fixed set then it is called universal set.

4. Power Set

   • let $A$ be any set, then the set of all the subsets of $A$ is called power set of $A$
   • it is denoted by $p(A)$ or $2^A$
   • the cardinality of $p(A)$ is $|p(A)| = 2^n$, where $n$ is the number of elements in $A$

5. Null Set/ Empty set ($\phi$)

   • A set having 0 or no elements is called as null set
   • it is written as $\phi$