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14 December, 09:15

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?

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  1. 14 December, 09:19
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    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.
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