All-Russian Olympiad Problem 3

There are \(24\) different pencils, \(4\) different colors, and \(6\) pencils of each color. They were given to \(6\) children in such a way that each got \(4\) pencils. What is the least number of children that you can randomly choose so that you can guarantee that you have pencils of all colors?This problem is part of this set.

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