There are 19 figure skaters in the olympic women's competition, including 3 americans. the gold medal goes to first place, silver to second, and bronze to third.

suppose that the olympics powers-that-be decide that exactly one american must win a medal (no more and no less). now how many ways are there to award the medals?

There are three different choices for the American.

There are 16 different choices for the first non-American and 15 different choices for the other non-American.

So, there are 3 x 16 x 15 different groups.

But, order is important -- who gets the gold, who gets the silver, and who gets the bronze -- there are 6 different ways to arrange the 3 winners (3! = 6).

Thus, there are 6 x 3 x 16 x 15 different results.

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.

-1/3(x+1)^5

i’m pretty sure this is correct