There are 12 contestants in a coloring contest. three ribbons will be awarded. how many different ways could the ribbons be awarded?

1320 ways

Step-by-step explanation:

Here we have a situation where 3 ribbons will be awarded to 3 of the 12 contestants. We can use the permutation formula, because the order of awarding the ribbons matters.

The permutation formula is:

n = 12

k = 3

Now that we have our variables, let's plug them into the formula.

So there are 1320 different ways that the contestants will be awarded.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50