eguruchela

Union of Set(A Union B) or AUB Calculation


Set is the relation of some given data and has functions such as union and intersection.




The term union means it is a collection of sets containing distinct elements. It is denoted by ∪.

Example:

The two sets of events A={1, 2, 3} and B={3, 4, 6, 7, 8}

these events are combined then we get :

A U B = {1, 2, 3, 4, 6, 7, 8}

Definition

The union of set A and set B is represented by A U B and it is pronounced as A union B.

The union set contains the elements that belong to either A or to B or to both. The element is written only once even if they exist in both the sets

Formula

n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

The number of elements in the union of set A and B is equal to the sum of cardinal numbers of the sets A and B, minus that of their intersection

union of set