Option: D is the correct answer.
D. Permutation; number of ways = 120
We need to use the method of permutation since permutation method is used for the selection as well as arrangement of the 5 students.
Now there are 5 competitors in a running competition and 5 medals are awarded for first place through fifth place. Each medal is different.
Now, the ways it can be done is:
[tex]5_P_5=\dfrac{5!}{(5-5)!}\\\\\\5_P_5=\dfrac{5!}{0!}\\\\\\5_P_5=5!\\\\\\5_P_5=5\times 4\times 3\times 2\times 1\\\\\\5_P_5=120[/tex]
Hence, option: D is the answer.
