Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let A be a set containing m distinct elements, then the total number of distinct functions from A to itself is

Options:

$m^m$

$m^2$

$m!$

$2^m-1$

Correct Answer:

$m^m$

Explanation:

Each element in set A has m options in it’s images, so number of mappings = $m × m × …× m = m^m$  times