Hats off!

There are 5 red, 5 green, 5 blue, and 5 yellow hats packaged in 20 identical, unmarked boxes with 1 hat per box. What is the least number of boxes that must be selected in order to be sure that among the boxes selected, 4 or more contain hats of the same colour.


The answer is 13.

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1 solution

Ketan Goyal
Aug 29, 2014

In this we have to tell the no. of boxes we need to select so that out of
the boxes selected ,4 or more contain hats of the same color. if we take 12 boxes it is possible that there are 3 hats of the same color.so if we take 13 boxes then it is sure that there would be 4 hats of the same color.

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