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If you have2nsocks in a drawer,nwhite andnblack, and you reach in to choose 2 socks at random, How many ways are there to choose? How

If you have2nsocks in a drawer,nwhite andnblack, and you reach in to choose 2 socks at random,

  1. How many ways are there to choose?
  2. How many of these ways result in getting a pair of the same color?
  3. Write a simple closed form formula in terms of n for the chance choosing a matching pair of socks from a drawer withnwhite andnblack socks.

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