Let be a set with elements and a set with elements.

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

A

be a set with

6

elements and

B

a set with

4

elements. (i) Explain why no injective function can be defined from

A

B

. (ii) Find the total number of surjective functions from

A

B

. (iii) If one function is chosen at random from all possible functions

A\to B

, determine the probability that the chosen function is surjective.