Pablo randomly picks three marbles from a bag of eight marbles (four red ones, two green ones, and two yellow ones). how many outcomes are there in the sample space?

The answer is 336.

Sol'n:

8P3 = 336 ways
where P = permutation

We use Permutation rather than Combination.
In the problem, it asks for the outcome or ways. Pablo picked 3 marbles over the eight marbles but it didn't mention if he picked a yellow, green, or red marble. In this state, you are going to assume that he picked random color of marbles. In that case, you are going to use Permutation. 

Step-by-step explanation:

Hello,

Please find attached the graph

AB = 6-2 = 4

DA = 7-0 = 7

So the area of the rectangle is AB * DA = 4 * 7 = 28

Hope this helps