Question

Let $A=\{a,e,i,o,u\}$ and $B=\{m,y,g,h,n,s\}$. If $f:A\to B$ is a function, then the maximum number of such functions possible are

• A. $5^6$
• B. $6^5$
• C. $2^{30}$
• D. $30$

Answer 1

The correct option is B $6^5$

$n\left(A\right)=5;n\left(B\right)=6$
So, total number of functions from $A$ to $B$ is, $n(B{)}^{n\left(A\right)}=6^5$