14 pigs are entered in the "best pig" competition at the county fair. The judges will award very special pigs with blue, red, and white ribbons. In how many different ways can these ribbons be awarded to 3 of the 14 pigs. A. 2184 B. 364. C. 42. D. 2744

Respuesta :

So the judges are going to pick 3 pigs from the 14 to give a ribbon. Since the ribbons are different, the order does matter. So this is a permutation. This can be set up like this:
[tex] \frac{14!}{(14-3)!} [/tex]
Basically, this means we'll be multiplying 14*13*12, which is 2184. This makes A the correct answer :)
The answer is A
 You multiply 14*13*12 to get 2184
Q&A Education