Question

Eight students are competing for a blue, red, and yellow ribbon for their agriculture project. How many different ways are there to present those ribbons if the order matters? 56 336 6,720 8,064

Answer 1

order matters? as in red first then blue then yellow? or as in each student can get 1 ribbon each?

if you say the first one then
how many ways to arrange the 3 ribbons?
3*2*1=6
then how many ways are there to choose 3 winners from 8?
8*7*6=336
so in total
6*336=2016
not a choice so I guess not


so I would say 336 is your answer

Answer 2

This question is based on the permutations. Therefore, the correct option is (b), 336 ways are there to present those ribbons if the order matters.

Given:

Eight students are competing for a blue, red, and yellow ribbon for their agriculture project.

We need to determined the different ways are there to present those ribbons if the order matters.

According to the questions,

By permutations ,we have to calculated the number of different  ways to arrange the ribbon is,

$3 \times 2 \times 1 = 6$

Now, we have to calculated the different  ways to choose 3 winners from 8 is,

$8 \times 7 \times 6= 336$

Therefore, the correct option is (b), 336 ways are there to present those ribbons if the order matters.

For more details, prefer this link:

https://brainly.com/question/1216161