# IDENTITY AND CARDINALITY OF SETS

**Equality of sets or Identity of sets**is defined as

**set**is said to be equal to

**set**if both

**sets**have the same elements or members of the

**sets**, i.e. if each element of

**set**also belongs to each element of

**set**, and each element of

**set**also belongs to each element of

**set**. Mathematically it can be written as A ⊂ B and B ⊂ A

In mathematics, the

**cardinality of a set**is a measure of the "number of elements of the**set**". For example, the**set**A = {2, 4, 16,24} contains 4 elements, and therefore A has a**cardinality**of 4.