Answer to Question #289602 in Discrete Mathematics for basil

Question

Let A represent the set of all students at a university, and let B represent the set of all courses

offered at the university. What is the Cartesian product A × B and how can it be used?

Answer 1

Suppose, if A and B are two non-empty sets, then the Cartesian product of two sets, A and set B is the set of all ordered pairs (a, b) such that a ∈A and b∈B which is denoted as A × B.

The Cartesian product A × B consists of all the ordered pairs of the form (a, b), where a is a student at the university and b is a course offered at the university.

One way to use the set A × B is to represent all possible enrollments of students in courses at the university