Practice Problems on Cartesian Product of Sets
Problem 1: Let A = {a, b, c} and B = {1, 2}. Find A × B.
Problem 2: Let A = {} and B = {x, y}. Find A × B.
Problem 3: Let A = {apple, banana} and B = {red, yellow}. Find A × B.
Problem 4: Let A = {1, 2, 3} and B = {3, 4, 5}. Find A × B.
Problem 5: Let A = {cat} and B = {dog}. Find A × B.
Cartesian Product of Sets
‘Product‘ mathematically signifies the result obtained when two or more values are multiplied together. For example, 45 is the product of 9 and 5. One must be familiar with the basic operations on sets like Union and Intersection, which are performed on 2 or more sets. Cartesian Product is also one such operation that is performed on two sets, which returns a set of ordered pairs.
In this article, we have covered, ordered pair definition, cartesian product of sets, and others in detail.
Table of Content
- What is an Ordered Pair?
- Cartesian Product of Sets
- Properties of Cartesian Product
- Problems on Cartesian Product of Sets
- Practice Problems on Cartesian Product of Sets
- FAQs on Cartesian Product of Sets