Sure, you could make 24 pink eggs but that would take four times as long as using all six colors. Granted, the activity is designed for an evening of family fun, but not a late-night of family fun!
And that's not counting the double-dipping!
(My apologies to anyone who clicked on the link expecting an actual puzzle. You're welcome to answer the question, but I fear you'll have to fill in more of the parameters yourself.)
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