Question 116
A Teacher Has $40$ Pencils of $4$ Colors (There $10$ Pencils of Each Color). he distributes them to $10$ kids so that each kid has $4$ pencils. Find the least value of $n$ such that the class leader can always find a group of $n$ kids Pencils of All $4$ Colors. There are $40$ pencils in four colors - according to $10$ of each color pencils. They were distributed to $10$ to the guys so that everyone received $4$ pencil. What is the smallest number of guys you can always choose so that they are guaranteed to find pencils of all colors, regardless of the distribution of pencils?