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There are 6 red socks        and      6  blue socks

So you have to take from the drawer at least 7 socks.  Then there can atmost be 6 socks of one color.. and so there will be a pair of either red or  blue.

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If there are 6 red socks and 6 blue socks,
you must atleast take 3 socks.
then the 3 you take contain 1 pair of same coloured socks and the 3rd one can be anything.