Within Riley's mind, there are five manifestations of her emotions - Joy, Sadness, Anger, Digust and Fear. Her new memories are stored in colored orbs in her conscious mind. If there are different colored orbs for different combination of 1 or more of her 5 emotions, how many distinct colored orbs are there?
As an explicit example: there can have a bluish yellow orb with emotions of Joy and Sadness; there can also have a reddish purplish greenish blue orb with emotions of Anger, Fear, Disgust and Sadness.
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