Question

Number of ways in which 4 prizes can be distributed among 5 student if no student gets more than one prize is

• A. $5^4$
• B. ${}^5{p}_4$
• C. $4^5$
• D. 620

Answer 1

The correct option is B ${}^5{p}_4$

We have $n=5,r=4$

Number of permutations${}^n{P}_r{=}^5{P}_4=5!$

$\therefore$ option $\left(b\right)$ is correct.