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

There are 6227020800  possible rankings

Step-by-step explanation:

Given

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

Where

Substitute 13 for n

Hence, there are 6227020800  possible rankings

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.