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JEE Math Practice Question

The coefficient of x101 in the expression $${(5 + x)^{500}} + x{(5 + x)^{499}} + {x^2}{(5 + x)^{498}} + \,\,.....\,\, + \,\,{x^{500}}$$, x > 0, is

  1. A.501C101 (5)399
  2. B.501C101 (5)400
  3. C.501C100 (5)400
  4. D.500C101 (5)399

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