Answer: 120
Step-by-step explanation:
Given : The league championship 800 meter race has 6 runners.
The number of positions = 3
Since order matters here , so we use Permutation.
The permutation of n things taking r at a time is given by :-
[tex]^nP_r=\dfrac{n!}{(n-r)!}[/tex]
Then, the number of different ways they place first, second, and third :_
[tex]^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6\times5\times4\times3!}{3!}=120[/tex]
Hence, they can place first, second, and third in 120 different ways .
