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JEE Math Practice Question

If $$12$$ different balls are to be placed in $$3$$ identical boxes, then the probability that one of the boxes contains exactly $$3$$ balls is :

  1. A.$$220{\left( {{1 \over 3}} \right)^{12}}$$
  2. B.$$22{\left( {{1 \over 3}} \right)^{11}}$$
  3. C.$${{55} \over 3}{\left( {{2 \over 3}} \right)^{11}}$$
  4. D.$$55{\left( {{2 \over 3}} \right)^{10}}$$

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