# 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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