Let be a set having elements and a set having elements.
MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions
Problem
Let A be a set having 4 elements and B a set having 6 elements.
(i) Find the total number of injective functions from A to B.
(ii) All functions from A to B are considered equally likely. Calculate the probability that a randomly chosen function is injective, expressing your answer as a fraction in simplest form.