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JEE Math Practice Question

Let S = {1, 2, . . . . . ., 20}. A subset B of S is said to be "nice", if the sum of the elements of B is 203. Then the probability that a randonly chosen subset of S is "nice" is :

  1. A.$${5 \over {{2^{20}}}}$$
  2. B.$${7 \over {{2^{20}}}}$$
  3. C.$${4 \over {{2^{20}}}}$$
  4. D.$${6 \over {{2^{20}}}}$$

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