there are five united states athletes, four russian athletes, three french athletes, and one german athlete. How many rankings of the 13 athletes are there

Respuesta :

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