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.