Answer the following questions on ordered pairs and Cartesian products:
MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions
Problem
Answer the following questions on ordered pairs and Cartesian products:
(i) Define an ordered pair and give one illustrative example using numbers.
(ii) Define the Cartesian product of two non-empty sets A and B, and state the formula for the number of elements in A×B when both sets are finite.
(iii) State, with an example, whether A×B and B×A are always equal. Justify your answer in one or two sentences.