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Sock Drawer puzzle

There are 10 socks of each of the following colors in a drawer:

  • red
  • blue
  • green
  • black
  • white

i.e., there are 50 socks. The socks are arbitrarily distributed in the drawer. You are blind-folded.

What is the minimum number socks you must draw in order to be certain you have at least 2 socks of the same color ?

How many socks must you draw from the drawer in order to be certain you have at least 2 socks of different colors ?

Source: folklore

Answers

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Hint:

6 and 11.