How many Skittles packs before finding identical ones?

A note on a pack of Skittles reads, “No two rainbows are the same. Neither are two packs of Skittles. Enjoy an odd mix.” Of course that can’t possibly be right, because there are a finite number of color combinations and there are many packs of Skittles in the world. That led possiblywrong down a path of wondering how many packs it’d take before getting two identical ones. The answer came 27,000 Skittles later.