Question

The number of one-one functions that can be defined from $A=\{1,2,3\}$ to $B=\{a,e,i,o,u\}$ is

• A. $3^5$
• B. $5^3$
• C. ${{}^{}}^5{P}_3$
• D. $5!$

Answer 1

The correct option is C ${{}^{}}^5{P}_3$

You can correlate this to permutation and combination problems.
We have to arrange 3 people on 5 places.
So total no of permutations $={{}^{}}^5{P}_3$