Question

If $n\left(A\right)=4,n\left(B\right)=3$ then the number of functions that can be defined from $A$ to $B$ is

• A. $24$
• B. $64$
• C. $81$
• D. $12$

Answer 1

The correct option is C $81$

Total number of functions

from $A$ to $B=(n\cdot (B){)}^{n\left(A\right)}$

$=(3{)}^4$

$=81$

option C is correct.