total number of ordered pairs in universal relation for any set A containing n elements is given by?
Answers
Answer:
In mathematics, a binary relation over two sets X and Y is a set of ordered pairs (x, y) consisting of elements x in X and y in Y. That is, it is a subset of the Cartesian product X × Y. It encodes the information of relation: an element x is related to an element y, if and only if the pair (x, y) belongs to the set. Binary relation is the most studied form of relations among all n-ary relations.[1]
An example of a binary relation is the "divides" relation over the set of prime numbers P and the set of integers Z, in which each prime p is related to each integer z that is a multiple of p, but not to an integer that is not a multiple of p. In this relation, for instance, the prime number 2 is related to numbers such as −4, 0, 6, 10, but not to 1 or 9, just as the prime number 3 is related to 0, 6, and 9, but not to 4 or 13.
Step-by-step explanation: