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You have exactly 16 balls. There are 4 red, 4 blue, 4 green, and 4 black. You are allowed to distribute the balls into

You have exactly 16 balls. There are 4 red, 4 blue, 4 green, and 4 black. You are allowed to distribute the balls into 4 different buckets, in any way you want. Each bucket can hold a maximum of 5 balls. Show that no matter how you distribute the balls, it is always possible to select a different colored ball from each bucket.

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