Question

Find number of all such functions $y=f\left(x\right)$ which are one-one?

• A. $0$
• B. $3^5$
• C. ${}^5{P}_3$
• D. $5^3$

Answer 1

The correct option is A $0$

One-one functions are those in which each element in the domain has a unique image in the range of the function.
Here $B$ is the co-domain of the function which has lesser number of elements than the domain itself. This shows that it is not possible for the function to be one-one.