Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Consider sets A and B each having 4 elements. If $f: A→B$ be a function, then number of functions from A to B are :

Options:

216

256

64

16

Correct Answer:

256

Explanation:

Set $A$ has 4 elements and set $B$ has 4 elements.

Number of functions from $A$ to $B$ is given by $|B|^{|A|}$

$=4^{4}$

$=256$

Required number of functions = $256$