Answer:
There are 6227020800 possible rankings
Step-by-step explanation:
Given
[tex]Athletes= 13[/tex]
Required
Number of Rankings
Let the number of athletes be n;
Since each athlete can only take one position at any given instance, the number of rankings is [tex]n![/tex]
Where [tex]n = 13[/tex]
Substitute 13 for n
[tex]13! = 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 *3 * 2 *1[/tex]
[tex]13! = 6227020800[/tex]
Hence, there are 6227020800 possible rankings